There are numerous synonyms that can be used in place of the phrase "lays in." Some of these include "rests in," "sits within," and "dwells inside." Other options include "resides in," "lies within," and "is situated in." The choice of synonym may depend on the context in which the phrase is being used, as well as the desired tone of the writing. Regardless of the choice, these synonyms can provide variety in language and help to avoid repetition in writing.