The term 'implant deeply' can be broken down into two crossword solutions: ENROOT (6 letters) and EMBED (5 letters). ENROOT means to fix or establish firmly, while EMBED means to fix or set securely in a surrounding mass. Both terms imply that something is being placed firmly and securely into a material or environment. This could be used to describe the process of implanting a medical device into a patient's body, or the process of setting a foundation for a new project.