draw in is a verb meaning "pull inward or towards a center". It carries 6 recorded senses.
pull inward or towards a center
“The pilot drew in the landing gear”
“The cat retracted his claws”
direct toward itself or oneself by means of some psychological power or physical attributes
“Her good looks attract the stares of many men”
“The ad pulled in many potential customers”
“This pianist pulls huge crowds”
“The store owner was happy that the ad drew in many new customers”
Definitions, synonyms and semantic relations for draw in come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.