Sentence:  When you're well enough off so's you don't have to fret about anything but your heft or your diseases you begin to get queer, I suppose. And the queerer the cure for those ailings the bigger the attraction. A place like the Right Livers' Rest was bound to <WSD>draw</WSD> freaks, same as molasses <WSD>draws</WSD> flies. 
Meaning of the word marked with <WSD> tags:  To attract.