draw in vs move on

draw in and move on both are verbs.

Word	Noun	Adjective	Verb	Adverb
draw in	No	No	Yes	No
move on	No	No	Yes	No

As verbs, move on is a hypernym of draw in; that is, move on is a word with a broader meaning than draw in:

Other hypernyms of draw in include advance, go on, march on, pass on, progress.

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