If Neanderthals went extinct for like 40,000 how can I still be carrying 2% DNA in me?

I just found this out last week. They went extinct for around 40,000 years. Yet I got 2% of Neanderthal DNA in me. How is that possible?

If Neanderthals went extinct for like 40,000 how can I still be carrying 2% DNA in me?
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