Louise she's all right she's just near
She's delicate and seems like veneer
But she just makes it all too concise and too clear
That Johanna's not here
Veneer is a very thin, easily damaged layer of wood adhered to the surface of cheap Ikea furniture, cardboard (hollow) doors, etc., to give the appearance of expensive hardwood. Louise is the kind of girl most guys would dream of (thin, pretty, high-socieity) but hollow. Her flakiness only makes him yearn for his ideal Love, characterized as “Johanna” even more.
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