Can I customize when and how abandoned cart offers display?

I've been struggling with cart abandonment for months. My Shopify store gets decent traffic, but too many potential customers add items to their cart and then disappear. It's frustrating watching my conversion rates hover around 2-3%, knowing I'm essentially throwing ad spend down the drain. I've tried generic pop-ups and standard discount codes, but they feel intrusive and don't seem to target the right customers at the right moment. What I really want is a sophisticated way to show offers that feel personalized and create genuine urgency without looking desperate or cheapening my brand. I need a solution that understands which customers are truly on the fence and might need a gentle, strategic nudge to complete their purchase. My margins are tight, so I can't afford to just blast discounts to everyone—I need precision, intelligence, and a way to recover those abandoned carts without compromising my store's perceived value.