Complex sentence: The network reluctantly agreed, reworking the concept into "I Love Lucy" after Ball and Arnaz took a show on the road to convince the network audiences would respond--but Jell-O dropped out of the show in favour of Philip Morris for television.
Split into simpler sentences: The network reluctantly agreed, reworking the concept into "I Love Lucy" after Ball and Arnaz took a show on the road to convince the network audiences would respond. But Jell-O dropped out of the show in favor of Philip Morris for television.