The phrase "keep as captive" refers to the act of holding someone against their will. There are several synonyms for this phrase which can be used to convey the same meaning in different ways. Some of these synonyms include "detain," "imprison," "incarcerate," "confine," and "hold hostage." Other synonyms that could be used to describe the act of keeping someone as captive include "take prisoner," "arrest," "seize," "abduct," and "constrain." Each of these words has its own nuances and connotations which can be used to describe situations where someone is being kept as captive, such as in a hostage situation or a prison.