My understanding of this is, pilots (european hops) tend to do 2 sectors, so lets say EGBB - LEAL about 2hrs 20mins, captain will fly the out bound leg to LEAL, then on the way back the F/O will handle the T/O and Landing back into birmingham, Check out itvv's 737 go fly dvd, the F/O does the t/o on the way back.
Swiss pilots from what ive seen/heard advance the thrust levers with both the captains right hand and f/o's left hand on the thrust levers.
Michael.