The phrase "filtered in" can be replaced with various synonymous expressions, depending on the context of the sentence. For example, "penetrated" can be used to describe information or ideas that have entered a person's mind or a group's discussions. Another choice is "seeped in," which is often used to portray a slow and gradual influx of a substance or concept. Similarly, "infused" is a suitable alternative when describing a process in which a particular quality or characteristic has been added to something, such as a flavor being incorporated into a dish or a culture being integrated into a community. Other options include "flowed in," "entered gradually," and "made its way into".