Redick's 3-pointer with 42 seconds left broke a 99-99 tie and powered the Magic to their first victory since Dec. 21.
Redick drained four 3-pointers in all and Arron Afflalo pumped in 30 points with seven rebounds and seven assists in the victory.
Nikola Vucevic dominated under the boards, grabbing 15 rebounds to go along with 18 points for the Magic.
Blake Griffin went 15-of-22 from field en route to 30 points, eight boards and seven assists for the Clippers, who retained the NBA's best record at 28-9.
Chris Paul dished off 16 assists and scored 10 points.
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