The verb manifest means “to make clear or evident” or “to show plainly.” Things manifested—such as feelings, intentions, or conditions—are typically made apparent through actions or behaviors. For instance, anxiety might manifest itself in an inability to sleep. Or, more pleasantly, a friend might manifest or show approval of something with a hearty laugh.
A modification is a partial alteration or adjustment. This word works as a synonym for the noun change when talking about relatively small changes—or modifications—that leave the fundamental nature of a thing intact. For instance, we make modifications to our behavior, lifestyle, or diet, when we want to alter but not completely overhaul these areas of our lives. Similarly, modifications may be made to rules, loans, or contracts to make them more lenient or feasible while preserving the essentials.
To ascertain something is to determine it with certainty. That’s right, the key idea of ascertain is right there in the word itself: certain(ty). Contrasted with the verb learn, which can imply knowledge come upon without much effort (I just learned the show was canceled), ascertain suggests deliberate steps taken to confirm or verify the truth or particulars of a matter. Perhaps because certainty is harder to come by, we commonly find ascertain used in constructions that showcase its absence, as in long-term effects that are difficult to ascertain.