The games won't sweat, but unless you're making sure to use bags with acid-free plastic, it could damage the labels (in the very, very long term).
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My mantra, as worded by SamSpade on 06/12/12:
I don't resell to fund my collection, I don't treat this hobby like a second job, I don't care if my collection is worth ten bucks or ten thousand because I never plan on selling it. Seriously, what does the value have to do with anything if you never plan on selling? Speculation doesn't mean jack shit to me at this point, I just want to play my nes games...