If you are looking for synonyms for the word "more deep-cut," there are many options available to you. You could use "deeper incision," "more profound cut," or "further wound." You might also consider using phrases like "greater laceration" or "larger gash" to convey the same idea. Other options might include "more extensive incision," "broader cut," or "more severe wound." Whatever words you choose, be sure to consider the context in which they will be used to ensure that they convey the intended meaning effectively. With the right choice of synonyms, you can add depth and nuance to your writing, making it more engaging and impactful.