Looking at what's reported in the NOAD, one of the meanings of implicate is the following:
convey (a meaning or intention) indirectly through what one says, rather than stating it explicitly; imply: by saying that coffee would keep her awake, Mary implicated that she didn't want any.
Is implicate used as a synonym of imply, or are the two words used in different contexts?
If they are used in different contexts, could you provide examples that use imply and implicate?