Attraction has the side-effect of motivating the townies to ask your Sims out on dates somewhat frequently.
Other Sims don't respect your vows, so you may get a lot of calls asking your Sims on a date even if they're married.
Attraction can occur for any number of reasons, though you'll likely see it most often when Sims learn new skills.
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Simply put, when any unrelated Sim is near your active Sims, you might see a push notification of the visitor being attracted to your Sim.
As you can see in the screen shot here, a townie is attracted to Pete simply because she caught him studying a new skill.