Complex sentence: In July of 1997 Lawrence, Martha, and Wayne played in the U.K., which included a John Peel Session, recorded on 20th July, broadcast on BBC Radio 1 on 7th August.
Split into simpler sentences: In July of 1997 Lawrence, Martha, and Wayne toured the UK. A John Peel Session, recorded on 20th July, was broadcast on BBC Radio 1 on 7th August.