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I tend to play middle pair strongly with 1 or 2 oppos and if checked to, especially if the pot is unraised. I want draws paying bad odds to call or folding, and in the unlikely event of the one player acting after me having a better hand, I can slow right down.
The odds of K9 improving on the turn here are small - 5 outs to two pair or trips (one of which is tainted, the king of spades, as it completes a flush) and a redraw to a gutshot (which you can discount. So, you're either going to win this hand here or you're not going to win it at all. have a stab and don't put any more in if played back at. If you bet the pot here you only need to get folds from the villains 50% of the time for it to be worth it, not counting the times you get called and still win.
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