I'm so confused which sentence I should use. What's the difference between them?

I'll see you after an hour so you may continue to paint your wall.

I'll see you after an hour so you may continue painting your wall.

Is there any difference?
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The flow of the sentence is not very logical to me.

You can use either the infinitive or the gerund as the object.

This is what I would say:

I'll leave you now for an hour, so you may continue painting (to paint) your wall.
Thank you very much!

I'll see you after an hour/ I'll see you an hour------------are they just grammatically wrong and sound weird to you?
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They are understandable and not grammatically wrong, but the more commonly used phrase is "I#ll se you IN an hour".
Thank you very much:-)
"Ill see you an hour" is not correct. You do need a preposition to specify. Otherwise the other person won't know if you mean "in an hour", "for an hour", "after an hour"...

Sorry I overlooked that.
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The problem is the conjunction "so." It is out of place. Here are some logical sequences.

I'll see you in an hour. You may continue painting your wall.

I will return after an hour. In the meantime, please continue painting the wall.

I will leave so that you can continue painting your wall. I'll see you in an hour.

The reason that I am leaving for an hour is so that you can continue your painting.
Dear nikoer,

Both forms are possible after continue.

Regards,

Iman
You can use both paint and painting here. I would use painting.

However, I'd say this sentence as following:

I'll see you in / within an hour, while you may be continuing to paint your wall.

Regards
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