Semi-common situation with K7s

[ajm36]

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Call the raise. Check-call the turn, bet-fold the river unless a scare card has fallen, then check-call the river. I'd like to know if he's willing to bet on the end when it's scary.

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Why bet/fold the river after check/calling the turn. If you're going to put a bet in on the river anyway, don't you want to showdown? I'm just asking--not being a jerk.