Complex sentence: In 1965, Klein became the co-manager of The Rolling Stones, and in 1966, Klein bought Andrew Loog Oldham's share of the Rolling Stones' management, though Oldham continued in his role as the band's producer until late 1967.
Split into simpler sentences: In 1965, Klein became the co-manager of The Rolling Stones. In 1966 Klein bought Andrew Loog Oldham's share of the Rolling Stones' management, though Oldham continued in his role as the band's producer until late 1967.