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It's a very small raise, just a bit more than x2. The villain is either trying not to scare you off or is making a cheap raise with a weakish hand. I think it is more likely to be the latter. JT is the only non-vulnerable monster. KQ, K9, 99 would probably be raised big by an agressive player, especially on a relatively scary board. There are loads of pair + straight draw hands and I would guess he is raising with one of those hands: KJ, QJ, QT, JJ, T9 etc.
If you call, then there will be 1K in the pot and 1K left in his stack. If you check the turn then I think he will bet again as he is aggressive. So I think the choice on the flop is fold, shove or call and then shove any non T or J turn. I would be inclined to shove on the flop as I think you are ahead of his range:
Board: Kh 9s Qc
Dead:
equity win tie pots won pots tied
Hand 0: 54.626% 52.95% 01.67% 59763 1887.50 { Ks8s }
Hand 1: 45.374% 43.70% 01.67% 49322 1887.50 { JJ-TT, A9s, KJs-K9s, Q9s+, J9s+, T9s, AJo-A9o, KJo-KTo, QTo+, JTo }
Its obviously a very tricky spot though. I really don't know the answer and am just giving my thoughts for better players to correct!
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