Complex sentence: He was offered the part of Dr. Kildare in an NBC series but his prescient request that the show have no cigarette advertising led to the offer being withdrawn, and the part going, in 1961, to Richard Chamberlain.
Split into simpler sentences: He was offered the part of Dr. Kildare in an NBC series. But his prescient request that the show have no cigarette advertising led to the offer being withdrawn, and the part going, in 1961, to Richard Chamberlain.