Question: If "I sallied out for a bit of food, more to pass the time than because I wanted it.", can we conclude that "I sallied out for a bit of food, more to pass the time than because I wanted time."?
Answer: no

Question: If "Bill passed the half-empty plate to John because he was hungry.", can we conclude that "John was hungry."?
Answer: yes

Question: If "Frank was upset with Tom because the toaster he had sold him didn't work.", can we conclude that "The toaster Tom had sold him didn't work."?
Answer:
yes