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He raised and called a 3b from the CO. Is anything with a 6 in his range? If not, does the pairedness of the board matter much? I think the only thing he plays here that beats you on the flop is JJ. He might have AJ, KJ, QJ, JT, or a pocket pair and think you're full of crap. He might be floating with overs. He might have QQ and be playing carefully because he suspects you have KK+ and just wants a cheap showdown in case you have AK.
After calling the flop, I think he's could have AQ, KQ, AJ, KJ, QJ, JT, 22+. I'd throw in AK too if you have seen that he won't 4bet it. Has he seen you 3bet with AK a lot? I'd keep betting, since the only things in his range that have you beaten on the turn are 66, TT, JJ, JT and he would probably keep calling you down with Jx or QQ.
If he checkraises the turn, I figure he has JJ, TT or JT, since that's just such a common set line and most players are far too timid to do it with something like AJ here.
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