bow out vs pull out

bow out and pull out both are verbs.

Word	Noun	Adjective	Verb	Adverb
bow out	No	No	Yes	No
pull out	No	No	Yes	No

As verbs, bow out and pull out are synonyms defined as:

Other synonyms of bow out include back down, back off, chicken out.

bow out (verb)	pull out (verb)
retire gracefully	remove, usually with some force or effort; also used in an abstract sense
remove oneself from an obligation	move out or away
	bring, take, or pull out of a container or from under a cover
	remove oneself from an obligation