"Avert the eyes" is a common phrase that means to avoid or turn away from something unpleasant or uncomfortable to witness. Synonyms for this expression include "look away," "avert the gaze," "turn a blind eye," "skirt around," "veer off," and "avoid eye contact." These phrases all suggest avoiding eye contact or looking elsewhere to avoid seeing something that may be disturbing or unwanted. Other related terms include "shun," "eschew," "avoid," "disregard," and "ignore" which imply a deliberate effort to avoid or ignore. The appropriate phrase or terminology to use depends on the context, the level of formality and the degree of sensitivity needed.