Shopify Inventory Conditions

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Hi All

I have an issue where it appears my Inventory conditions are not working when a specific item is searched using either google or the search function within my store.

I have added a condition being Inventory Stock > Is Greater than as per below


I have a few products where the inventory from my supplier is 0, 1 or 2 which I do not want to display on my shop, as mentioned they disappear from the collection however if s specific item is searched within the store search box it still shows as available.