Sparq Search auto-detects stock quantity of products and hides these products automatically in the search results. Your customers can see these products when they choose “include out-of-stock” from the filters.
You can also control the visibility of your store products using the "Hide Out of Stock Items" option, which utilizes the default Shopify out-of-stock inventory model. (In the Sparq Search Admin Panel, Go to Settings> Preferences>Hide Out of Stock Items).
Once enabled, it will hide items for which Shopify reports out of stock quantity.