pull out vs bow out

pull out and bow out both are verbs.

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

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

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

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