redound vs bear on

redound and bear on both are verbs.

Word	Noun	Adjective	Verb	Adverb
redound	No	No	Yes	No
bear on	No	No	Yes	No

As verbs, bear on is a hypernym of redound; that is, bear on is a word with a broader meaning than redound:

Other hypernyms of redound include affect, bear upon, impact, touch, touch on.

redound (verb)	bear on (verb)
contribute	have an effect upon
have an effect for good or ill	press, drive, or impel (someone) to action or completion of an action
return or recoil	be relevant to
	keep or maintain in unaltered condition; cause to remain or last