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Lots of stuff going on here, so I wouldn't just write this off so easily as "one of those things". Of course, you need to know something about the player, but this is a pretty stark set of actions on his part. Lots of missing information in your post (blind structure, action before the $30 all-in), so I'll make some assumptions.
He either calls your UTG-first to act raise, limps in behind you or re-raises. If he limps, it screams suited connector or small pocket pair. If he calls a 3X raise, he might have those, or AK(s), AQ(s), AJs, ATs, KQs. If he re-raised, its more likely he has a big pocket pair (JJ+) or AK.(assuming he's looser than the average FTR player)
So you have an idea of what he might have. Then he calls a raise to $60. For me, that drops any AX, except maybe AK as things he might have. I'd have to figure him for JJ+, maybe AKs.
Flop comes J27. You check, which I see as a problem. Now you're inviting a bluff. He could be thinking you were on AK, and missed. Your check sure suggests that, and his all-in raise might just be in response to that. Is he smart enough to know that you could be trapping him? He'd be less likely to put you on a missed flop if you've trapped at this table before, so thats something to think about. Thats the problem with checking in that spot, you don't gain any information and you introduce alot of other things that reduce the certainty of his hand.
If, instead, you raise, say 1/3 of the pot ($50), you take away the bluff possibility. If he comes back over the top all-in, you gotta figure him for a hand, and take the bluff factor out. Might give you a chance to save some money.
Should you have called the all-in? You have no idea now whether he's on AA (beating you outright), JJ (made top set), AJs (weak top pair against your $60 pre-flop raise) or flat out missed. 77, 22 are long shots, but possible. He is either betting on something, or he's bluffing. If he's betting on something, he's likely got you beat with that flop.
Given the way you played it, it would be tough to lay KK down though.
Go back to the $60 pre-flop raise. Why $60? I'm just wondering if you knew what you were trying to accomplish. You say are trying to isolate, so you're happy with winning the $30-plus thats in the pot. $60 is a tough number because loose Mr. 22 with $150 might call it with some hands he shouldn't. Is a better play to push all-in and make him pay for the chance to draw that third deuce? He might still call it, but you don't give him the chance to fold and save $90 if he doesn't hit his set. If you're going to call the all-in post-flop, I think you should push all-in before the flop.
Again, that might not change anything on this hand, but the next time, when he doesn't hit his set, you're money ahead.
Just my thoughts.
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