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They said the online capabilities of any games brought over will have their servers running. That's one of the best reasons for it, even when the 360 servers eventually go away, you'll still be able to play games online on the One.
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I'm in the preview beta. I played Battleblock theater with one of my friends and he was on the 360. So yeah. You can look it up yourself. And black ops 2 was confirmed for the preview program too.
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My proof is the e3 announcement they made. If you watched it you would know these things.