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1) limp/call pre + tiny donkbet + half stack mean he's probably pretty bad. When he calls the flop and makes a fairly committing turn bet I think he probably has a hand he thinks is the nuts, but AJ (especially AdJd), KJ, Ad4d, 5d6d, 9dTd and maybe even worse Js probably all think theyre good. Even if you discount suited connectors pre, there are just not that many hands you are behind here compared with Jx and combo draws, and he probably calls with any top pair and most combodraws. Easy value shove.
2) Id probably just fold. I found this spot interesting though. I think it's quite a dangerous place to bluff for a few reasons.
a) Straight cards on the river could easily give him 2 pair so if he decides to call once and try to check it down, your barrel cards are actually pretty good for his range, and if you end up checking it down you lose.
b) He looks like a weak Ace so A is very much in his range, and if he has A and you tend to call tight pre, there arent many flushes you can have at all on the river.
a and b make firing the river pretty dangerous, and raising once and then giving up probably gets a call from a weak A too often.
c) You rep sets, AQ that didnt 3bet pre, Axs that is now 2pair (if you call fairly wide pre), flop float that turned a draw. Thats fairly thin on actual value hands, although that might not matter anyway. If you are fairly tight and reggy, I probably instafold AJ in his position anyway.
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