[levAA]

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Villain almost never has QQ+ or a set here IMO.

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I don't understand why you exclude this from villains range!?

I think for exactly these holdings his play is reasonable.

If we set his preflop raising range from early position to 88+,AJ+,KQ and he bets after the flop into 3 opponents we can devide it into two parts:

1.) We beat: TT

2.) We are beaten by: 88,99,QQ,KK,AA

(3.) we can pretty much exclude: AQ,AK,KQ - as the bet size is too large for a c-bet and betting into 3 opponents isn't really reasonable without a hand)

So I would say this is a fold unless I have some read, that his preflop range is wider than that.