The term 'deeply embedded' can be described by two crossword solutions: ROOTED and etched. ROOTED means firmly fixed in place, while etched means to carve or engrave a design into a surface. Together, these two words describe something that is firmly fixed in place and has been carved or engraved into a surface. This could refer to a physical object, such as a sculpture, or an idea or concept that has been deeply ingrained in a person's mind.