The phrase "cause to undergo" refers to the act of making someone or something go through a particular experience or process. In order to convey this idea without using the same phrase, there are various synonyms available. Some options include "subject to," "impose upon," "bring about," "induce," "inflict," "force," and "compel." Each of these synonyms highlights a slightly different aspect of the original phrase, with "subject to" and "impose upon" emphasizing the role of the agent or actor, and "induce," "inflict," and "compel" focusing more on the effect on the recipient. These synonyms allow for greater variety in language and help to avoid repetition in writing.