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Back in May, Amazon announced it was toying with the idea of creating its own house brand for everyday items like cereal and diapers. Not content to just stay in your cabinets, the e-commerce giant is apparently on the verge of infiltrating our closets with its own private-label fashion line.

The company would used the line to fill “gaps” in the marketplace, an Amazon executive said during the WWD Apparel and Retail CEO Summit on Monday, BuzzFeed New reports.

Despite Amazon Fashion’s recent rise to the top of the retail ranks, it has often…