There are three states that Products can be in. These can be set in the "More" button on the Product page in Ochre.
Active: Product is live and visible on the site. It will appear on Artist pages, within search and on any pages where the product is merchandised.
Inactive: Product is not visible on the site and the product page will return a 404 error.
Hidden: Product is visible if directly linked to, but will not appear on site pages, or search. Hidden products can still be identified.