[gharp]

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I usually bet/call the flop, but against 4 opponents I don't hate a check/call.

I'd call on the turn too. It's very likely that your A's and K's are outs too.

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there are a ton of villain can be holding here that make our A/K outs dirty.

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Maybe, but I don't think it's that bad since most of the reverse-dominating hands that dirty up our outs would've likely raised preflop.