promote vs elevate

promote and elevate both are verbs.

Word	Noun	Adjective	Verb	Adverb
promote	No	No	Yes	No
elevate	No	No	Yes	No

As verbs, promote and elevate are synonyms defined as:

Other synonyms of promote include advance, kick upstairs, raise, upgrade.

promote (verb)	elevate (verb)
make publicity for; try to sell (a product)	raise in rank or condition
change a pawn for a better piece by advancing it to the eighth row, or change a checker piece for a more valuable piece by moving it to the row closest to your opponent	raise from a lower to a higher position
be changed for a superior chess or checker piece	give a promotion to or assign to a higher position
give a promotion to or assign to a higher position
contribute to the progress or growth of