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If they're on your Kindle, I don't think it'll redownload them. I think I bought a book while I was travelling in Fiji with my US Kindle, downloaded via USB, and didn't have any issues upon my return to the US.
Even if it does, I'm confident you won't end up with two copies, so if you want to be safe, make sure you're plugged in when you turn wireless on so that if it does download fresh copies to replace the old you won't kill the battery indexing the books for search.
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