Some context might provide the distinction.
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Adam: "Jane told me that he licked her asshole."
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- Jane: "I never said he licked my asshole." <-- He never licked my asshole, and I never claimed that he did. Adam is lying about both parts.
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- Jane: "I never said he licked my asshole." <-- He licked my asshole, but I never told anyone that he did. Adam learned about the asshole-licking from someone other than me.
That might be the worst salute I've ever seen.