Bubic, 28, has been on the 60-day injured list since mid-May for elbow and shoulder soreness. He has a 4.11 ERA through nine starts this season, a year removed from tossing a stellar 2.55 ERA in 20 starts.
Duran, 25, has a 3.38 ERA through 37 games with 61 strikeouts in 42.2 innings at the Triple-A level this season.
This now marks the second pitcher the Dodgers have traded for at the deadline, with the first being superstar Tarik Skubal (details here).