Luxuriousness is a real word. It means the degree of luxury
within something, but it is not commonly used, as it is rather
superfluous.
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Opulence means richness or luxury. I was amazed at the opulence
of the bank once I went inside the lobby.
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There is only one correct spelling for the word luxury. I could
also capitalize it. LUXURY. Synonyms exist (opulence is the
closest) but that is not the same thing as an alternate
spelling.
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Yes, the verb form of "opulent" is "opulence." It is used to describe the action of demonstrating wealth or luxury.