In between, Cavani weighed in with a first-time shot from just inside the area and a poached second to take his tally to 28 for the season.
Bordeaux battled bravely but were fortunate to get back into the game on 32 minutes when television replays showed that Diego Rolan's equaliser should have been disallowed for an earlier offside.
PSG will play the winners of Wednesday's other semi-final between Monaco and Nancy in Lyon on April 1.
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(Reporting by Neil Robinson; Editing by Clare Fallon)
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