how to understand the last sentence ?
we kissed until our lips burned. I traveld to another place, a place that would never have anything as mudane as a name.

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thanks

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mentally she/he felt like they had gone somewhere else while the kiss was happening.
(it must have been a really good kiss ! )

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The word 'mundane' means boring/normal - It's suggesting the place was interesting, unique, different.

I hope my interpretation helped!