Complex sentence: In 1660 they moved to the Palais-Royal, where they performed in alternation with the troupe of Molière until both were evicted by Lully's Académie royale de Musique in 1673.
Split into simpler sentences: In 1660 they moved to the Palais-Royal, where they performed in alternation with the troupe of Molière. Both troupes were evicted from the Palais-Royal by Lully's Académie royale de Musique in 1673.