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The most likely hands for him to have are K-K and Q-Q (He reraised preflop, two aces have been seen, and three jacks. A-A and A-J are unlikely to the point of almost being impossible since there is only one way A-A could have been dealt, two ways for A-J, and A-J would not reraise preflop, unless the guy is an idiot.), so your decision should be based on how to extract the most money from these hands. I would probably put out a small bet on the flop to appear weak and hope that I get raised. If you get raised, I would most likely call, and then check the turn. If he just calls, I'd consider making another small or medium-sized bet on the turn. If he raised on the flop, he will probably bet when checked to on the turn, and you have the option to either call or raise. I'd probably call if his bet is small or medium-sized and then put out a medium-sized bet on the river (half the pot or less), since a raise on the turn appears too strong. If he bets big on the turn, I would probably suspect that he has A-K and reraise him. There honestly aren't many hands which you can beat which will committ much to this pot aside from A-K.
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