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Lucy has a strong dislike of and some level of jealousy towards Elle. He typically tries to avoid her, yet he still ends up getting pestered and berated by her on a regular basis. The fact that she looks like a young child certainly doesn’t help matters when she makes yet another critical remark towards him in front of others.
Elle is unabashedly and vocally critical of Lucy, disapproving of how vain and flashy he is, not to mention his casual approach to his work. She’s well aware that he doesn’t like her, and quite likes embarrassing him and boasting about how she’s more successful than he is.