The phrase "ability to draw in" is correct and usable in written English.
It can be used when discussing someone's capacity to attract or engage others, whether in a social, professional, or creative context.
Example: "Her ability to draw in an audience with her storytelling skills is truly remarkable."
Alternatives: "capacity to attract" or "skill in engaging".
This tetchiness may stem from the fact that, even before the current scandals, fund managers were nervous about their ability to draw in and keep new money from investors.
One of the marks of a truly gifted actor is an ability to draw in and involve an audience without saying a word.
Ability to draw in groups.
"It can have a huge effect on a movie's ability to draw in viewers.
But booksellers' enthusiasm for Brown's ability to draw in readers was tempered as a price war broke out.
Regular breathing was hard enough with her emphysema; crying — with its deep irregular inhalations — crippled her ability to draw in air.
Ben Preston, editor of the Radio Times, said while British television had always been able to compete with the US in terms of writing and directing, its recent ability to drew in A-list talent was a key factor in British TV's "drama renaissance".
"It is their ability to draw you in -- whether through in-depth interviews or silent poetic shots that speak for themselves".
To examine whether the Functional Data Analysis FDAA), Statistical Parametric Mapping (SPM) and Statistical non-Parametric Mapping (SnPM) hypothesis testing techniques differ in their ability to draw inferences in the context of a single, simple experimental design.
As an actor, Ashton obviously has the ability to draw you in, but presenting a product in this format is a very, very specific skill.
This subtle and real distance in characterization indicates how far Kirke is willing to go to help build a role, but she has something that can't be worked at: the ability to draw you in because she's a star, and because she has in spades what no less a presence than Katherine Hepburn once said a star must have: the ability to be fascinating.
