Products' stock statuses are updated alongside the price. There are various options for how you can deal with out-of-stock products:
3. You can also hide prices for these products or the products themselves. To do this, go to
Content Egg > Settings > General Settings > Out-of-Stock products.
4. The last — and simplest — option is to do nothing. Most stores don't remove products from their pages, even if they're out of stock. Affiliate cookies will be installed, and the store will suggest alternative purchase options on its own.