There are many synonyms for the phrase "not included" that can be used to convey the same meaning. Some of the most common include excluded, omitted, left out, missing, absent, not part of, and not counted. All of these terms imply that something has been intentionally removed or overlooked, whether it be an object, element, or idea. Using synonyms in your writing can help you to avoid repetitive language and add variety to your vocabulary. It's important to choose the right word based on the context and intended message of your writing, to ensure that your meaning is clear and effectively communicated.