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If you raise the turn, are not 3 bet, and it is HU, I think you have a value bet on this river .

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Says who? A raise here says, "I have a 9!!!" and shuts down all other hands that are very likely here. Two pair and trips revert into call down mode. JJ/AT do the same.

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I agree with this statement, if the hero raises the turn, this should usually be his final investment in the hand.