1. persuade somebody to do something
- I finally managed to persuade her to go out for a drink with me.
2. persuade somebody into doing something
- Don't let yourself be persuaded into buying things you don't want.

Are #1 and #2 interchangeable?
In both cases, persuade means to cause (someone) to do something through reasoning or argument.

So, I'd say yes.


I would suggest that persuade someone into some action often implies that the action is unwise in some way.

eg Tom persuaded Jim into robbing a bank.

eg Mary persuaded Dave into lending her his car

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I'd like to add that "persuade" can bear the definition of "convince" in some aspects.

It depends on the context as you've probably heard here many times.