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OK, my German friend asked me this the other day and I couldn't give her an answer! Native English speaker for 27 years and it's still hard for me, ha-ha.

Do you like to walk?
Do you like walking?

What is correct? Are they both correct?

Obviously we can substitute 'walk' for many other verbs, so is there a rule here or something?

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Verbs of liking and disliking are generally followed by gerunds.

Do you like walking? - is more natural over the second one.

They come under 'verb patterns' and there is a list of which verb takes what here.

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