The phrase "filter through" means to pass through a filter or to sift through something in order to separate out certain things or ideas. Some common synonyms for "filter through" include "percolate," "seep," "trickle," "penetrate," "leak," "diffuse," and "spread." These words describe the gradual and deliberate process of sifting through something, such as information or ideas. They also suggest a movement or flow of something through a particular space or medium. By using these synonyms, we can create more vivid and interesting expressions that convey the same meaning as "filter through".