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They both mean to change, but along the way of my studying I just found that "to change a name" sounds best as "сменить имя".

At least that's what I heard.

It's crazy sometimes. It's all the...

Almost correct.

You see, in this sentence "они" is the subject, and "её" is the direct object.

So your sentence means:

"They force her to change their own names."

The correct way would be:

You can use свой when the subject of the sentence owns the thing being used with possesive pronoun.

я сменил моё имя. - I change my name. (Correct, but as I'm told, sounds kinda strange to a...

свечка догорела (cгорела) - The little candle burned out

They crawled in the mud. - Они ползали в грязи.

They forced me to crawl in the mud. - Они заставили (вынудили) меня ползать в грязи.
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