What does it mean when you inquire about a guy’s relationship status and he keeps finding a way to avoid answering the question?

Me: “Are you in a relationship?”

Him: “… Well, I’m going on dates.”

Me: “Does anyone think that they’re in a relationship with you?”

Him: “… I’m getting to know one young lady.”
What does it mean when you inquire about a guy’s relationship status and he keeps finding a way to avoid answering the question?
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