Leo represents lust, but not in the way you might think. Lust does not have to be sexual. In fact, it would be surprising if it was in the sexual connotation. According to the Riordan Wikia, "[Leo] is also known to frequently fall in love with any beautiful girl as long as she is completely out of his league..." He longs to not be a third wheel, so he pursues it by going after beautiful girls. Lust is defined as intense longing, but because of modern society (and its original intent), lust has become a reference to a more sexual desire.
A first example of this is in The Lost Hero with the goddess of snow, Khione. She strikes Leo as beautiful, and so he develops a crush on her. Another example in The Lost Hero is when Thalia, Jason, and Leo were in the cave alone during the snowstorm. He asked Thalia if her no-dating arrangement was seasonal. Khione dislikes Leo, as she is a snow goddess, and Leo is a son of Hephaestus, who is the god of forges, blacksmiths, and fire, and she takes his compliments as insults because of this.
Another example is Calypso, who he also falls in love with, even going so far as to promise to get her off of her wretched island, Ogygia.
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The Seven Deadly Sins and the Heroes of Olympus: How They're Connected
RastgeleI had an epiphany of sorts. There are seven demigods, and there are seven deadly sins... ILLUMINATI CONFIRMED??? Was Uncle Rick trolling us?