promote vs wink at

promote and wink at both are verbs.

Word	Noun	Adjective	Verb	Adverb
promote	No	No	Yes	No
wink at	No	No	Yes	No

As verbs, wink at is a hyponym of promote; that is, wink at is a word with a more specific, narrower meaning than promote:

Other hyponyms of promote include connive at, cultivate, foster, further, spur, help, carry, feed, conduce, contribute, lead.

promote (verb)	wink at (verb)
make publicity for; try to sell (a product)	give one's silent approval to
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
be changed for a superior chess or checker piece
give a promotion to or assign to a higher position
contribute to the progress or growth of