Does the lore correspond with the console games?

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The Assassin's creed series has several games on PsP,PsP Vita and Nintendo DS. Does the lore about Desmond continue in these games? Do you get a new insight about him and his ancestors? Or are the games completely irrelevant to the series on Xbox 360/One(AC1,AC2,AC Brotherhood,AC Revelations, AC 3, AC4,AC Unity)

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10 Games With MIND-BLOWING LORE

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