Complex sentence: She has two sons by her former husband, Paul Hobson, a veterinary surgeon: their marriage broke down in 1996 and she became involved with Rena Brannan, a female Korean-American writer.
Split into simpler sentences: She has two sons by her former husband, Paul Hobson, a veterinary surgeon. That marriage broke down in 1996, and she became involved with Rena Brannan, a female Korean-American writer.