progress vs draw in

progress is a noun but draw in is not a noun.

Word	Noun	Adjective	Verb	Adverb
progress	Yes	No	Yes	No
draw in	No	No	Yes	No

As verbs, draw in is a hyponym of progress; that is, draw in is a word with a more specific, narrower meaning than progress:

progress (noun)	draw in (noun)
the act of moving forward (as toward a goal)
gradual improvement or growth or development
a movement forward

progress (verb)	draw in (verb)
develop in a positive way	direct toward itself or oneself by means of some psychological power or physical attributes
form or accumulate steadily	draw in as if by suction
move forward, also in the metaphorical sense	pull inward or towards a center
	of trains; move into (a station)
	advance or converge on
	shape one's body into a curl