Complex sentence: Begley regularly toured with Ray Lynam from 1975 and they recorded many duets together, probably their most popular being "My Elusive Dreams", which went on to be mentioned in The Pogues' song, "A Pair of Brown Eyes".
Split into simpler sentences: Begley regularly toured with Ray Lynam from 1975 and they recorded many duets together. Probably their most popular being "My Elusive Dreams" which would go on to be mentioned in The Pogues' song, "A Pair of Brown Eyes".