Most recent page is simply where you stopped reading. I believe most reading apps sync this way. Often most recent and furthest are the same thing if you read straight through from beginning to end. However some books have extra material at the end like appendices or biographies might have photo sections. Maybe it's a reference book, and you don't want to read the chapters in order. Furthest page would prompt you to sync way ahead of what page you were reading, and you had to use bookmarks to keep your place to pick up another device and know where you stopped.
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