Precision Digital Corporation ProtEX PD6830X User manual

PD6830X Explosion-Proof Modbus®Scanners

Instruction Manual

PRECISION DIGITAL CORPORATION

233 South Street • Hopkinton MA 01748 USA

Tel (800) 343-1001 • Fax (508) 655-8990

www.predig.com

•Fully-Approved Explosion-Proof Modbus Scanners

•Modbus Master, Slave, or Snooper Mode

•0.4" (10.2 mm) 7 Alphanumeric Characters Lower Display for Process Variables, Custom Units, and Tags

•5-Digit Decimal Display (ProtEX-MS2) or Feet & Inches Display (ProtEX-MFI)

•Display Mountable at 0°, 90°, 180°, & 270°

•SafeTouch Through-Glass Button Programming

•Scan up to 16 Modbus Process Variables

•Independent Scaling, Tag, and Unit for Each PV

•Backlight Standard on All Models

•Isolated 4-20 mA Output Option

•Two Isolated Pulse Outputs Standard, Up to 5 kHz

•Operating Temperature Range: -40 to 75°C (-40 to 167°F)

•FM Approved as Explosion-Proof / Dust-Ignition Proof / Flame-Proof

•CSA Certified as Explosion-Proof / Dust-Ignition Proof / Flame-Proof

•ATEX and IECEx Certified as Flame-Proof and Protection by Enclosure

•Conformal Coated PCBs for Dust and Humidity Protection

•Password Protection

•Data Logging Functions and Modbus Accessible Data

•Free ScanView EX Programming Software

•On-Board Three-Wire Isolated RS-485 with Modbus RTU

•Wide Viewing Angle

•Flanges for Wall or Pipe Mounting

•Explosion-Proof, IP68, NEMA 4X Enclosure

•Three 3/4" NPT Threaded Conduit Openings (One Plug Installed)

•2" U-Bolt Kits Available

•Stainless Steel Tag Available

•3-Year Warranty

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Disclaimer

The information contained in this document is

subject to change without notice. Precision

Digital Corporation makes no representations

or warranties with respect to the contents hereof;

and specifically disclaims any implied warranties

of merchantability or fitness for a particular

purpose.

•Read complete instructions prior to installation

and operation of the scanner.

•Risk of electric shock or personal injury.

•This product is not recommended for life support

applications or applications where malfunctioning

could result in personal injury or property loss.

Anyone using this product for such applications

does so at his/her own risk. Precision Digital

Corporation shall not be held liable for damages

resulting from such improper use.

•Failure to follow installation guidelines could

result in death or serious injury. Make sure only

qualified personnel perform the installation.

•Never remove the scanner cover in explosive

environments when the circuit is live.

•Cover must be fully engaged to meet

flameproof/explosion-proof requirements.

WARNING

Cancer and Reproductive Harm - www.P65Warnings.ca.gov

Limited Warranty

Precision Digital Corporation warrants this

product against defects in material or

workmanship for the specified period under

“Specifications” from the date of shipment from

the factory. Precision Digital’s liability under this

limited warranty shall not exceed the purchase

value, repair, or replacement of the defective unit.

See Warranty Information and Terms &

Conditions on www.predig.com for complete

details.

Introduction

The explosion-proof ProtEX-MS2 and ProtEX-MFI

Super Snoopers are serial input RS-485 Modbus®

RTU scanners. These Modbus devices are ideal for

hazardous areas or safe areas in need of a rugged

solution. The ProtEX-MS2 has a two-line decimal

display. The ProtEX-MFI top line displays level in feet

and inches up to 399 ft, 11 and 15/16 inches. It

includes a 20 segment tank level indicator.

Each scanner can accept up to 16 Modbus process

variables (PVs), from up to 16 devices. The scanners

automatically cycle through the PVs, with the ability to

manually cycle PVs or pause scanning.

Up to four math channels (CV1-CV4) may be used to

perform math functions on any of the input variables.

Math functions include sum, difference, weighted

average, ratio and more. Nested math functions may

be used in these math equations, allowing for

complex math functions.

The display is programmable to show any input, math

channel, units, or tags, on a variety of display

combinations between the top and bottom displays.

Standard features include SafeTouch through-glass

buttons for operating the scanner without removing

the cover, a backlight that makes the display mode

visible in any lighting condition, 511 points of input

data logging, and two open collector pulse or alarm

outputs. A 4-20 mA output is available as an option.

The enclosure is provided with three threaded conduit

holes and integrated pipe or wall mounting flanges.

One conduit plug is installed, and included in the

explosion-proof approvals.

Free, PC-based, ScanView EX software that connects

to the scanner via the PDA8068, PDA7485-I,or the

PDA8485-I is available for programming and setup of

the instrument.

The instrument can also be programmed using the

four SafeTouch through-glass buttons, without

removing the cover, or with four internal push-buttons.

The PD6830X includes on-board data logging of up to

511 points.

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Ordering Information

Model Description

PD6830-AX0-I-2 Modbus RS-485 RTU scanner,

9-30 VDC power.

PD6830-AXA-I-2 Modbus RS-485 RTU scanner,

isolated 4-20 mA output,

9-30 VDC power.

PD6830-AX0-I-L Modbus RS-485 RTU scanner,

feet & inches display,

9-30 VDC power.

PD6830-AXA-I-L Modbus RS-485 RTU scanner,

feet & inches display,

isolated 4-20 mA output,

9-30 VDC power.

Accessories

Model Description

PDAPLUG75 3/4" Metal Conduit/Stopping Plug

PDA0001 3/4" M-NPT to F-M20 Reducer

PDA0002 3/4" M-NPT to 1/2" F-NPT Reducer

PDA1024-01 24 VDC Power Supply for DIN Rail

PDA8068 USB Serial Adapter for Programming

PDA7485-I PDA7485 RS-232 to RS-485 Converter

PDA8485-I USB to RS-485 Isolated Converter

PDA6846

Steel 2" U-Bolt Kit. All Material: Zinc

Plated Steel; (1) U-Bolt for 2" Pipe with

(2 each) Washers, Lock Washers, and

Nuts.

PDA6846-SS

Stainless Steel 2" U-Bolt Kit. All

Material: Stainless Steel; (1) U-Bolt for

2" Pipe with (2 each) Washers, Lock

Washers, and Nuts.

PDA-SSTAG Custom Stainless Steel Tag (see

website for convenient ordering form)

PDA1024-01 24 VDC Power Supply

The PDA1024-01 is a DIN rail mounted 1.5 A,

24 VDC power supply that can be used to power

the PD6830X.

PDA8068 USB Serial Adapter

The PDA8068 USB serial adapter is used to connect

the PD6830X directly to a computer via USB. It is

intended to be used for programming only. No live

monitoring is possible with this module.

PDA6846 2"U-Bolt Kits

The PDA6846 U-Bolt Kits provide a convenient way to

mount the PD6830X to 1.5" or 2" pipes. They are

available in steel and stainless steel.

PDA-SSTAG Stainless Steel Tag

The PDA-SSTAG is a laser etched stainless steel tag

that can be customized with three lines of text. Each

tag comes with a stainless steel wire and lead seal for

easy mounting wherever you need.

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Table of Contents

Introduction......................................................................................................... 2

Ordering Information.......................................................................................... 3

Specifications ..................................................................................................... 7

General............................................................................................................ 7

Modbus Operating Modes ............................................................................. 8

Serial Communications ................................................................................. 8

Modbus Scanner Process Variables............................................................. 8

Math Channels................................................................................................ 9

4-20 mA Transmitter Output.......................................................................... 9

Open Collector Outputs................................................................................. 9

ScanView EX Programming Software ........................................................ 10

Product Ratings and Approvals.................................................................. 11

Electromagnetic Compatibility.................................................................... 11

Safety Information........................................................................................ 11

Installation......................................................................................................... 12

Unpacking..................................................................................................... 12

Pre-Installed Conduit Plug .......................................................................... 12

Mounting ....................................................................................................... 12

Dimensions................................................................................................... 12

Cover Jam Screw ......................................................................................... 13

Connections ................................................................................................. 13

Wiring Diagrams........................................................................................... 14

DC Power Connection ............................................................................... 14

4-20 mA Transmitter Output Connections.................................................. 14

RS-485 Signal Connections....................................................................... 14

Open Collector Output Connections .......................................................... 14

Setup and Programming.................................................................................. 15

Overview ....................................................................................................... 15

ScanView EX Programming Software ........................................................ 15

SafeTouch Buttons ...................................................................................... 15

SafeTouch Button Tips and Troubleshooting............................................. 16

Buttons and Display..................................................................................... 17

Setting Numeric Values ............................................................................... 18

Setting Alphanumeric Labels (LABEL)......................................................... 18

Main Menu......................................................................................................... 19

Display Functions & Messages................................................................... 19

Main Menu Programming ............................................................................ 21

Select Operating Mode (MODE) ..................................................................... 21

Master Mode (MASTER) .................................................................................. 22

PV Number Configuration (PV NUM) ........................................................... 22

Poll Time (T POLL)..................................................................................... 23

Response Timeout (TIMEOUT).................................................................... 23

Retries Before Error (RETRIES) .................................................................. 23

Slave Mode (SLAVE) ...................................................................................... 24

PV Number Configuration (PV NUM) ........................................................... 24

Slave Response Timeout (TIMEOUT).......................................................... 24

Snooper Mode (SNOOPER) ............................................................................. 25

Snooper Mode PV Configuration (PV NUM) ................................................ 25

Snooper Mode Response Time (T RESP) .................................................. 25

Setup the Display (SETUP) ............................................................................ 26

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Setting Up the Display (DISPLAY) ................................................................ 26

Top Display (TOPDSP)................................................................................. 27

Bottom Display (BOTDSP)............................................................................ 27

PV Display Setup (PVSETUP) ...................................................................... 28

Math Channel Display Setup (MATH) .......................................................... 31

Tank Size Indicator (TANKSZ) ..................................................................... 33

Tag Display Time (T-TAG).......................................................................... 33

Units Display Time (T-UNITS) .................................................................... 33

Scan Time (T-SCAN)................................................................................... 33

Serial Communications Settings (COMM) ..................................................... 34

Scanner Modbus ID (SCAN ID) .................................................................. 34

Baud Rate (BAUD)....................................................................................... 34

Transmit Delay Time (TXDELAY)................................................................. 34

Parity (PARTIY)........................................................................................... 34

Advanced Menu ................................................................................................ 35

Display Functions & Messages................................................................... 35

Advanced Menu Programming (ADVANCE) .................................................. 37

Open Collector Outputs (OUTPUT) .............................................................. 38

Scaling the 4-20 mA Analog Output (Aout)................................................ 40

Selecting the Analog Output Source .......................................................... 40

Enter Display and Output Values ............................................................... 41

Math Channel (CV1 to CV4) Programming (MATH)..................................... 41

Setting Up Passwords (PASSWRD)............................................................... 43

Custom (CUSTOM) ....................................................................................... 44

System (SYSTEM)........................................................................................ 45

Operation........................................................................................................... 49

Front Panel Buttons Operation ................................................................... 49

Pause/Start Automatic Scanning................................................................ 50

Manual Scanning.......................................................................................... 50

Reset Scanner to Factory Defaults............................................................. 50

Factory Defaults & User Settings................................................................ 51

Application Examples ...................................................................................... 55

Example 1: Master Polling Multivariable Level Transmitters ................... 55

Example 2: Snooper Displaying Flow Rate from Modbus Flow Meters... 59

Troubleshooting ............................................................................................... 61

Troubleshooting Tips................................................................................... 61

Quick User Interface Reference ...................................................................... 62

EU Declaration of Conformity.......................................................................... 63

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Table of Figures

Figure 1. Enclosure Dimensions – Front View................................................... 12

Figure 2. Enclosure Dimensions – Side Cross Section View ........................... 12

Figure 3. Connector Board Mounted in Base of Enclosure .............................. 13

Figure 4. Connectors & Switches on Rear of Display Module.......................... 13

Figure 5. DC Power Connections ........................................................................ 14

Figure 6. 4-20 mA Output Connections .............................................................. 14

Figure 7. RS-485 3-Wire Serial Connections ...................................................... 14

Figure 8. RS-485 5-Wire Serial Connections ...................................................... 14

Figure 9. Open Collector Output Connections................................................... 14

Figure 10. Real Time Clock Display Example – Decimal Model........................ 45

Figure 11. Real Time Clock Display Example – Feet & Inches Model .............. 45

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Specifications

Except where noted all specifications apply to operation at +25°C.

General

Display

Top Display

Five digits (0 to 99999),

0.7" (17.8 mm) high,

7-segment,

automatic lead zero blanking.

Bottom

Display

Seven alphanumeric

characters,

0.4" (10.2 mm) high,

14-segment,

automatic lead zero blanking.

Symbols

High alarm, low alarm,

SafeTouch button sleep

mode/disable, password lock

Feet & Inches

Display

(-L Models)

Top Display

Feet & Inches,

0.60" (15.2 mm) high,

0 to 399FT 1115/16 IN

7-segment, programmable

1/16 or 1/8 fraction display

Bottom

Display

Seven Characters,

0.4" (10.2 mm) high,

14-segment, 7-digits

Tank Level

Indicator

20-segments, F (Full)

and E (Empty)

Alarm

Indication

High and low alarm

Backlight

White

Display

Assignment

Top and Bottom Display*: Process

Variables (PV); Alternating PV and Units,

Tag and PV, or Tag, PV, and Units.

Bottom Display: All Top Display Options

or Off

Units and tag independent for each PV.

* On feet and inches display models, top

display used only for level Modbus process

variables or math channels.

Backlight

White; it can be disabled/enabled in the

Advanced - System menu. The backlight is

automatically turned off below -20°C.

Alarm

Indication

Flashing display plus HI/LO indicators

Scan and

Update Rate

Ambient > -20°C: Modbus PV scan rate

programmable from 2 to 99 seconds per

PV. Tag and units programmable for 1 to 5

second alternation.

Ambient < -20°C: All Modbus scan, alter-

nating units and tags 1 update/10 seconds

minimum.

Underrange

Upper Display: Decimal display flashes

-9999

Level display flashes to 399FT 1115/16 IN

Lower Display: Flashes -

999999

Overrrange

Upper Display: Decimal display flashes

99999

Level display flashes to 399FT 1115/16 IN

Lower Display: Flashes

999999

Programming

Method

Four SafeTouch through-glass buttons

when cover is installed. Four internal

pushbuttons when cover is removed.

Free ScanView EX software.

Password

Restricts modifications of programmed

settings to require re-entering the

password to make changes.

Input Power

9-30 VDC, 2.2 W

Data Logging

Up to 511 records, recorded 4/day at spe-

cific times or at defined time intervals.

Record contains first eight enabled Mod-

bus PVs; C1-4 if enabled; date; time, and

log number.

Isolation

All Models:

500 V power-to-RS-485

serial communications

-AXA Models:

500 V power-to-analog

output

Environmental

Operating temperature range: -40 to 75°C

Storage temperature range: -40 to 75°C

Backlight deactivated below

temperatures ≈-20°C

Relative humidity: 0 to 90% non-condensing

Printed circuit boards are conformally coated.

Non-Volatile

Memory

All programmed settings are stored in non-

volatile memory for a minimum of ten years

if power is lost.

Connections

Screw terminals accept 12 to 22 AWG wire

Enclosure

Explosion-proof die-cast aluminum with

glass window, corrosion resistant epoxy

coating, copper-free (0.3%)

Color: blue.

NEMA 4X, 7, & 9, IP68.

Conduit connections:

Three ¾" NPT threaded conduit openings.

One ¾" NPT metal plug with 12 mm hex

key fitting installed. Additional conduit

opening configurations and plugs may be

available; verify quantity and sizes on

specific device labeling during installation.

Mounting

May be mounted directly to conduit. Two

slotted flanges for wall mounting or NPS

1½" to 2½" or DN 40 to 65 mm pipe

mounting. See Dimensions on page 12.

Display

Orientation

Display may be mounted at 90° increments

up to 270° from default orientation.

Overall

Dimensions

5.67" x 5.24" x 4.88" (W x H x D)

(144 mm x 133 mm x 124 mm)

Weight

5.00 lbs (80 oz, 2.27 kg)

Warranty

3 years parts and labor. See Warranty

Information and Terms & Conditions on

www.predig.com for complete details.

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Modbus Operating Modes

Master

Processes and displays data read from

Modbus RTU slave devices. Up to 16

process variables (PVs) from up to 16 slave

devices. Each PV programmed individually.

Slave

Processes data sent to it from a

Modbus RTU master device.

Note: Refer to Modbus Register Tables at

https://www.predig.com for details.

Snooper

Listens to the Modbus traffic and picks up a

specific register or registers being polled by

a Master device from a specific slave

device and processes the data being read.

Up to 16 process variables (PVs) from up to

16 devices.

If multiple

registers are polled by the master

with one command, only the first returned

value will be read.

Master Poll

Time

0.1 to 99.9 sec. Time between read-

commands.

Master

Timeout

0.1 to 99.9 seconds. Time elapsed after a

poll request is made before the scanner

considers that request to have failed.

Number of

Retries

1-99. The number of retries the scanner will

make when requesting data before

reporting an error condition on the PV.

Snooper

Response

Time

0.1 to 99.9 seconds. Time since the last PV

update the before being considered an

error.

Slave Timeout

0.0 to 99.9 seconds. Time elapsed after the

last data received from a master before the

scanner considers the data to be out of

date. Programming 0 disables the timeout,

and PV data will be displayed indefinitely

despite not being updated regularly.

Serial Communications

Protocol

Modbus® RTU

Scanner Id

1 – 247. Specifies the address of the

PD6830X.

Baud Rate

1,200; 4,800; 9,600; 19,200; 38,400;

57,600; or 115,200 bps

Transmit Time

Delay

Programmable between 0 and 199 ms

Parity/Stop Bit

Even, odd, none with 1 stop bit, or none

with 2 stop bits

Byte-to-Byte

Timeout

Max of 1.5 character times or 750 μs

Note: Refer to Modbus Register Tables at www.predig.com for details.

Modbus Scanner Process

Variables

PV Inputs

Up to 16 independently programmed

Modbus process variables (PVs) may

be scanned (Master mode) or detected

(Snooper mode). Each of the 16

Modbus PVs may be enabled or

disabled.

Slave Id

Specifies which device on the bus to

monitor. Valid for Master and Snooper

modes only.

Assign the slave ID or address (1-247)

of each of the devices containing the

process variables to be displayed

(Slave ID for PV1-16).

Specifies which register(s) to read in

the devices on the bus.

5 Digit Function 03: 40001–49999;

04: 30001–39999; or 65: 1–9999.

6 Digit Function 03: 400001–465535 or

04: 300001–365535; or 65: 1–65535.

Range is dependent on Function Code

selection (03, 04, or 65)

Will read 2 registers for Long integer

and Floating point data types; the

consecutive register number.

Valid for Master and Snooper modes

only.

Function Code

03, 04, and 65 (used to read 32 bit

registers). Master & Snooper modes

only.

Data Type

Select the data format of the PVs.

Select between short integer (2 byte),

long integer (4 byte), or floating point

(4 byte). Slave mode uses floating point

only.

Byte Order

Integer data programmable as binary or

BCD, and signed or unsigned. Byte

order selectable as big-endian (1234),

little-endian (4321), byte swap big-

endian (2143), or byte swap little-

endian

(3412). Byte swap unavailable for short.

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

Math Channels

Math Result

Chanels

Four math channels CV1-CV4.

Each math channel may be

programmed for a math function.

Math Functions

Parameter 1 (PAR1), parameter 2

(PAR2), and parameter 3 (PAR3)

independently programmable for each

math channel C1-C4.

Math Function

Function

Setting

Addition

PAR1 + PAR2

SUM

Difference

PAR1 - PAR2

DIF

Multiplication

PAR1 * PAR2

MULTI

Division

PAR1 / PAR2

DIVIDE

Absolute diff.

Abs(PAR1 - PAR2)

DIFABS

Weighted avg.

((PAR1 – PAR2)*PAR3) +PAR2

WAVG

Draw

((PAR1 / PAR2) – 1) * PAR3

DRAW

Ratio

(PAR1 / PAR2) * PAR3

RATIO

Concentration

PAR1 / (PAR1 + PAR2) * PAR3

CONCEN

Constant

CONST

Long Integer

Constant

LONG

Floating Pt.

Constant

FLOAT

None

Disable NONE

Absolute Value

Abs(PAR1)

ABS

Square Root

√(PAR1)

SQrt

Parameter

Selection

Parameter 1 (PAR1), parameter 2

(PAR2), and parameter 3 (PAR3)

selectable as: Modbus PV1-16, math

channel CV1-4 or any math function.

Parameter

Nested Math

Defining parameter 1 or 2 as a math

function will prompt for level 2

parameter 1 (L2P1), level 2 parameter

2 (L2P2), and/or level 2 parameter

3 (L2P3). Level 2 parameters function

identically as parameter 1 and 2 for

nested math functions.

4-20 mA Transmitter Output

Output Source

Modbus PV 1-16, math channel 1-4, or

disabled

Scaling Range

4.000 to 20.000 mA for any display range.

Disable

If disabled, the output will output 3.2 mA

Calibration

Factory Calibrated:

0.0 to 1000.0 = 4-20 mA output

Underrange

Output Underrange: 3.8 mA

Overrange

Display Overrange: 20.5 mA

Output Overrange: 20.5 mA

Accuracy

± 0.05% span ± 0.004 mA

Temperature

Drift

0.08 µA/°C max from -40 to 75°C ambient

External Loop

Power Supply

30 VDC maximum

Output Loop

Resistance

Power supply

Minimum

Maximum

24 VDC

10 Ω

750 Ω

30 VDC

100 Ω

1100 Ω

Open Collector Outputs

Output

Assignment

Two open collector pulse outputs.

Individually programmable for Modbus PV,

math channel, constant timed pulse output;

quadrature outputs (requires Out 1 and

Out 2), or off.

Rating

Isolated open collector, sinking NPN,

30 VDC @ 150 mA max.

Alarm Output

Assign to Modbus PV 1-16 or math channel

1-4, for high or low alarm trip point.

Alarm Deadband

0-100% FS, user selectable

Alarm

Acknowledge

Front panel ACK button resets output and

screen indication.

Pulse Output

Count

The pulse output count (

COUNT

) is

programmable from 0.000001 to 9999999.

PV and math channels generate a frequency

equal to the PV or math value divided by the

Count value.

Pulse Output

Pulse Width

Unless otherwise stated, pulses are 50%

duty cycle for required frequency.

Pulse Output

Maximum

Frequency

5 kHz, pulse width at 50% duty cycle.

If the outputs exceed 5 kHz, the scanner

will display

pUlse OVERRNG

Quadrature

Output

Output set to quadrature will lag the other

pulse output by 90° (1/4 duty cycle) at

output frequency. Minimum 1 Hz

Timer Output

Programmable on and off time, repeating

cycle. Minimum period 0.1 second,

maximum 100,000 seconds.

Minimum pulse time 0.01 second,

maximum 10,000 seconds.

PD6830X Explosion-Proof Modbus Scanners

Instruction Manual

ScanView EX Programming

Software

System

Requirements

Windows® 7/8/10 (Windows 32-bit or

64-bit operating systems)

Communications

PDA8068 Meter-to-USB Adapter for

programming,

PDA7485-I RS-232 to RS-

485 Isolated

Converter (Cable not included),

PDA8485-I USB to RS-485 Isolated

Converter (Cable not included).

Protocol

Modbus RTU

Scanner Address

1-247

Baud Rate

1200 bps to 115,200 bps

Configuration

Configure one scanner at a time.

File format: Saved as “.mve".

Printing: Configuration can be printed.

Monitor file format: Saved as ".mcf".

Data Logging

Report

Saved as “.csv” file format.

The Monitor window is used for monitoring up to 16 process

variables; each is programmed individually to display information

in selected engineering units with custom tags.

The Display window is used for programming the upper

display, lower display, dwell times, PV display setup, math

display setup, and tank size indicator.

The Mode/PV Setup window is used for selecting master,

slave, or snooper modes and setting up from 1-16 PVs.

The Data Logging window is used to set the computer and

meter time/date, set the on-board data log set time or time

interval method, set PC data log intervals and time units, and

manual control of PC data log with start/stop buttons.

For detailed programming software instructions or to download

ScanView EX software, visit predig.com/scanview-ex.

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