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BIG-Bench Hard / Consumer research aims at understanding whether users of some products also…

Problem

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input

"Consumer research aims at understanding whether users of some products also tend to consume other ones, or not. The following argument seeks to clarify some such relations: First of all, being a loyal buyer of Clairol shampoo is necessary for being a loyal buyer of Bed Head shampoo. Next, being a loyal buyer of Bed Head shampoo is sufficient for being an occasional purchaser of Infusium shampoo. Plus,whoever is loyal buyer of Bed Head shampoo is at least one of these: an occasional purchaser of Infusium shampoo, a loyal buyer of Cetaphil soap or a loyal buyer of Clairol shampoo. All this entails that everyone who is a loyal buyer of Bed Head shampoo is a loyal buyer of Cetaphil soap, too."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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