There are several synonyms for the term "incorporate into a system". One of these synonyms is "integrate", which means to combine two or more things into a unified whole. Another synonym is "assimilate", meaning to absorb or incorporate something into a larger entity. "Embed" is another synonym, which refers to incorporating something deeply into a system, making it an integral part of the whole. "Incorporation" can also be expressed as "enmeshing" or "enveloping", which refers to the idea of integrating or weaving something into a system. Ultimately, these synonyms all refer to the act of making something an essential and integral part of a larger system or entity.