suggest vs advert

suggest is not a noun while advert is a noun.

Word	Noun	Adjective	Verb	Adverb
suggest	No	No	Yes	No
advert	Yes	No	Yes	No

As verbs, advert is a hyponym of suggest; that is, advert is a word with a more specific, narrower meaning than suggest:

Other hyponyms of suggest include adumbrate, insinuate, intimate, clue in, allude, touch.

suggest (noun)	advert (noun)
	a public promotion of some product or service

suggest (verb)	advert (verb)
make a proposal, declare a plan for something	make a more or less disguised reference to
call to mind	make reference to
imply as a possibility	give heed (to)
drop a hint; intimate by a hint