Selling Out of stock products with alert on the product page informing the customer of a delay

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I am looking after a store that has products where some are inventory tracked and some are inventory tracked but also are allowed to purchase when inventory is zero.

These items can be ordered in to ship out but will take 2-3 days extra to ship.

What i'm looking for is help in adding code that if the product is allowed to be sold when out of stock, it shows a message saying 2-3  extra days shipping if inventory is zero.

I am not too familiar with shopify's architecture but understand the answer lies in the product.liquid file.

I have searched the forum and nothing is giving me any idea how to make the change.

Any help is appreciated. thank you.