When a girl mentions she does NOT have a boyfriend?

Anonymous
Alright, we all know what it means when a girl says she has a boyfriend. But what does it mean when she casually but explicitly says she DOESN'T have a boyfriend? Is that a strange thing to mention to guy?

Also, this girl noticed I remember a lot about her (things she's said) which she said was "very interesting" and refused to explain what that meant. So what does that mean?
When a girl mentions she does NOT have a boyfriend?
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