This will be done in Shopify.
1. Go to Products.
2. At the top, search the product you are looking for.
3. Select the product.
4. To delete the product, scroll to the bottom on the page and select the icon "delete product" that is on the left-hand side.
5. To archive the product, on the right side of the page you will see "Sales Channels", select "manage" and then unselect "Online Store" and "Point of Sale".
6. Select "Done".