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I'd usually bet/fold the river.

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what hand range are you putting villian on? The only reasonable hand that villian could have that I beat is KQ. If I bet out on the river I think I am going to get raised a hell of a lot and am basically just donating a BB to CO.

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The guy could have been raising with lots of different hands. Hell, he might even have a jack or pocket kings, and fold thinking he's now behind that ace on the river.

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I don't know about this logic, I showed all of my aggression prior to there being an ace on the board.