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then wouldn't he suppose to forget everything associated with the DN just like Misa?
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It seems to me it's a very specific thing about forgetting only about the Death Note. Even though Misa forgets about the Death Note, and that Light is Kira, and anything related to the DN or the shinigami, she still remembers that a boy named Light is her boyfriend. In a similar way Light has probably "forgotten" that he is the killer named Kira, or what the Death Note is - but everything else stays intact. He knows he is part of the Kira investigation force tracking down Kira, run by L, etc. He is completely unaware of anything regarding him being Kira.
I'm an anime watcher, so that's just my interpretation of what I happened.