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BIG-Bench Hard / It is not always easy to grasp who is consuming which products. The following…

Problem

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input

"It is not always easy to grasp who is consuming which products. The following argument pertains to this question: First, being an infrequent user of Aveda shampoo is necessary for not being an owner of a Bio Ionic shampoo. Second, every loyal buyer of American Crew shampoo is a frequent consumer of Celtic Sea Salt soap and an owner of a Bio Ionic shampoo. Third, nobody is neither a frequent consumer of Celtic Sea Salt soap nor an infrequent user of Aveda shampoo. From this follows: Every loyal buyer of American Crew shampoo is an infrequent user of Aveda shampoo."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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