Can I create a discount for abandoned cart and customer favorites without them being duplicated?
Do you mean people getting a discount for both? If so, then only one discount is offered at any time.
You need to use Etsy's tool to set them up: How to Set Up Sales and Discounts for Your Shop – Etsy
Sales and coupons do not stack unless you have a sale or coupon for free shipping. If an item is eligible for 2 or more sales, Etsy gives the buyer the one that is the best deal unless the buyer enters a coupon code in which case sale price reverts to the original price and the buyer gets the coupon discount.