Eugene Omoruyi and Will Richardson scored 15 points apiece for Oregon (18-5, 13-4).
The Ducks, who moved a half-game ahead of UCLA and Southern California in the Pac-12 standings, play at Oregon State in the regular-season finale Sunday with a chance to clinch the conference title. The Beavers beat a short-handed Oregon 75-64 on Jan. 23. Duarte, Richardson and Figueroa missed the game for various reasons.
Junior Jules Bernard had a career-high 23 points for UCLA, but was scoreless over the final 13 minutes as the Ducks erased a nine-point deficit.
Jaime Jaquez Jr., who finished with 15 points for the Bruins, hit a jumper to make it 60-51 with 11:16 to play but the Bruins went 1 for 6 from the field and committed six turnovers as Oregon scored 15 of the next 17 points. Cody Riley converted a three-point play to make it 68-all with four minutes left but Figueroa and Omoruyi each made a layup before Duarte hit a 3 late in the shot clock to put the Ducks in front for good.
Oregon shot a season-high 60.8% (31 of 51) from the field, hit 8 of 17 from 3-point range, and outscored the Bruins 12-6 from the free-throw line.
The Bruins (17-7, 13-5) have lost back-to-back games for just the second time this season, squandering control of their own destiny in the Pac-12. They play USC in the regular-season finale on Saturday.
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Omoruyi steals and slams for Oregon
Eugene Omoruyi comes up with a steal and takes it the other way for a dunk to give Oregon a lead over UCLA.