"Are in earnest" is a common phrase used to describe someone's sincerity or seriousness about a matter. Synonyms for this phrase can include "are serious," "are committed," "are dedicated," "are resolute," "are determined," "are firm," "are steadfast," "are unwavering," "are genuine," and "are sincere." These words all convey a sense of strong conviction and a serious attitude towards a particular goal or belief. When someone is in earnest, they are not simply going through the motions or half-heartedly attempting something; rather, they have a deep sense of purpose and a genuine desire to accomplish their desired outcome.