"Faced up to" is a phrase that means to confront a difficult situation or issue with bravery and determination. There are many synonyms which can be used instead of "faced up to". Some of these synonyms include "confronted", "acknowledged", "accepted", "tackled", "dealt with", "handled", "braved", "challenged", "resolved", "grappled", and "overcome". Each of these words can be used to convey the same sense of courage and determination when faced with a difficult challenge or issue. Using a suitable synonym can help to make your writing more engaging and impactful to readers.