When images are generated they are not automatically saved into your asset library. This is to enable you to maintain an asset library that only contains the assets that you want and not have it filled with discarded assets. This is especially important given the AI models draw upon your asset library when responding to prompts.
Unless generated images are manually saved/added to the Asset Library, they will remain in the relevant projects that you have created.
Generated images can be easily added to the Asset Library and there are two ways to add a generated image to your Asset Library:
You can add one or more images to your Asset Library by selecting them and pressing the 'Add to asset library' button shown below.
The three dots shown below reveal 'Select' which, when selected, allows you to select multiple images to add to your asset library.
Finally, simply clicking on the three dots when hovered over a single image and clicking them, will reveal a menu that includes 'Save to Assets':
Once you have selected either pathway, you will need to add it to the relevant Product (or no product) within the Asset Library.