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Butler took a 27-point lead roughly seven minutes into the second half. Duhman hit back-to-back 3s less than 19 seconds apart thanks to a steal and nifty assist from Clarke.
But the talented Tar Heels did not go quietly.
Hairston scored 10 straight -- eight points in just over one minute and screaming after every bucket -- to pull Carolina within 17 with 9:39 to go. Chase Stigall responded with back-to-back 3-pointers in the next two minutes.
Carolina pulled within six with less than two minutes left after scoring eight points in just over 40 seconds, including six from Paige.
But Butler hit five free throws in the last 1:01 to nail down the win.
Butler, on a roll in the Aloha State since losing 62-47 at Xavier one week ago, will play either Illinois or Division II Chaminade in the tournament's title game on Wednesday. UNC will get the loser of that matchup in the third-place game.
Butler -- an unranked squad which dropped from all ballots in the last AP Top 25 tally -- pulled off a win over Marquette to open the tournament with an improbable, running 3-pointer from Clarke.
Stevens said its second win in Maui taught his team an early-season lesson about getting off to a fast start.
"You know that you have got to play attacking the rest of the game," he said.
Copyright 2012 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.
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