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Middle English word lan comes from Proto-Indo-European *lh₂ewnom, Proto-Indo-European *lok-, and later Proto-Germanic *launą (Reward, credit, booty.)
*lh₂ewnom (Proto-Indo-European)
*lok- (Proto-Indo-European)
*launą (Proto-Germanic)
Reward, credit, booty.
*lahaną (Proto-Germanic)
To blame, fault, reproach.
lēan (Old English)
lan (Middle English)