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All answers having "Big name in cosmetics" as clue:

3 Character Answers:

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MAC



4 Character Answers:

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AVON

OLAY



5 Character Answers:

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ALMAY

ARDEN

AVEDA

ESTEE



6 Character Answers:

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LAUDER



9 Character Answers:

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COVERGIRL



11 Character Answers:

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ESTEELAUDER