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checking and raising is a more expensive bluff, and betting can be cheaper.

betting also give you better implied odds on average, and 3 bets go in less often.

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Betting out can also be expensive since this line increases the probability that this will still be a 3 player confrontation on the turn, which means the hero will be significantly less likely to take this pot down unimproved.

About the implied odds argument. With a strong draw such as a flush draw in a 3 handed raised pot, I think its better if the hero takes the line that is most likely to win this pot as soon as possible, rather than try to draw cheaply. Just telling you how I approach this situation, not saying your way is wrong and my way is right.

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Are you expecting the 9 or the 7 to be an "out" that you are cleaning up? I daresay that if you fold them with a c/r, you would have folded them with a donk. At least when you would have been called anyway(whether you bet or c/r, like when an opponent has an A or decent T) you are more likely to get the 3rd player in to pad your equity, since realistically the flush is how you are going to expect to win this pot.

I think your general approach is interesting, but analyzing this particular hand IMO favors a lead, and can be swayed either way depending on how you have played recent hands, and how your opponents would expect you to play an ace.

Surf