what does "cop" mean here?
"They are seeking for a sort of democracy where everyone should agree with them or they cop it."

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Here is a nice definition:
Meaning of cop it in English
 
cop it
UK informal
 
to be punished or spoken to severely because you have done something wrong:
You'll really cop it if your parents find out you've been stealing.
You can check the full explanation here: https://dictionary.cambridge.org/dictionary/english/cop-it
Hope this helps!

Answer

Richard is right. 'Cop it' is a very informal way of saying 'get into trouble'/ be punished.

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Thank you! I see now. :)

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it means, "they should agree with them or they will force them to.."

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