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why dont you like it? You are a fav over most hands and he will probably call anyhow which is not a bad thing. you dont mind about being called, maybe some non pair hands bet if you check but fold to the allin-unlikely but may happen. given the action your money is in regardless.

If the stacks were deeper and he turn his cards over you want him to call, remember how often are tt+ folding on this flop, so if you push they call anyway.

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Check-raising has no fold equity here. No way is he going going to fold JJ after he puts more money in. He only has another 1 pot left, so if he bets 1/2 pot he will call the rest. Pushing on the other hand might drive him out.