"Running the risk" is a phrase that suggests the possibility of incurring a negative consequence or danger. There are several synonyms that can be used to communicate this meaning, such as "taking a chance," "gambling," "tempting fate," "risking," or "venturing." Other options include "placing oneself in jeopardy," "courting disaster," "inviting trouble," "exposing oneself to harm," "putting oneself at risk," "pushing one's luck," or "playing with fire." Each of these phrases conveys a sense of danger or potential negative outcome, and can be used in a variety of contexts to describe situations where caution or risk management are advised.