In my honest opinion, i think that it seems that Lavi might like Lenalee more then a friend or comrade. Thought it seems she might have to hots for Allen, i think Lavi got that wave and seems to be acting more on the basis that hes Allens friend and that's hes the future Bookman, so he tries not to, though i think Miranda might have a small thing for Lavi...so yeah:3
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Lavi and Lenalee have a close friendship and care for each other, but there are no conclusive romantic feelings directly shown in the series "D.Gray-man". Their relationship is primarily focused on their shared experiences as exorcists and teammates.