Complex sentence: During their short lifespan they again supported Pete Doherty's Babyshambles outfit frequently, along with personal invitations from ex-Libertines frontman Carl Barat to support his band, Dirty Pretty Things on their farewell tour.
Split into simpler sentences: During their short lifespan they again supported Pete Doherty's Babyshambles outfit frequently. They were personally invited by ex-The Libertines front man Carl Barat to support his band, Dirty Pretty Things on their farewell tour.