The phrase "are determined" can be replaced with a variety of synonyms depending on the context in which it is used. Some possible options include "are resolved," "are committed," "are dedicated," "are steadfast," "are resolute," "are unyielding," "are steadfast," "are unwavering," and "are persistent." Each of these synonyms conveys a sense of conviction and strong intention to see something through. When choosing a synonym to replace "are determined," it's important to consider the nuances of each word and select the one that best fits the intended tone and meaning of the sentence.