Complex sentence: Tzuke became Elton John's support act for his North American tour, and went on to release one more album on Rocket, "I Am the Phoenix" (1981), which also made the UK Top 20.
Split into simpler sentences: Tzuke became Elton John's support act for his North American tour. Tzuke released one more album on Rocket, "I Am the Phoenix" (1981), which also made the UK Top 20.