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I am looking at so many articles regarding how important it is to be on Law Review for employers. My school has a law review, an international law review, and six journals. Are these articles referring to the importance of being on the law review only talking about that one, or also the international law review? Thank you.

They are probably just referring to Law Review (or other flagship journal).

"Law review" usually means "The X Law School Law Review," and the others would all be secondary journals, including the international law review (it's secondary because it's specialized, even though it has "law review" in its name). Law review usually carries more cachet than the rest, because they get first pick/are the most selective. There are people who will argue that you need to at least be on a secondary journal, for big law employers at least, although it's maybe debateable.