Mark Lennihan / AP

The Snap IPO is now behind us, but two less-hyped companies are planning to test the public markets this week:

J. Jill: The Quincy, Mass.-based women's apparel retailer plans to offer 11.67 million shares at between $14 and $16 per share, and would have an initial market cap of around $656 million were it to price in the middle of its range. This one could be interesting, as its improving performance runs counter to broader trends in the bricks-and-mortar retail sector. J. Jill was acquired less than two years by private equity firm TowerBrook Capital Partners, and plans to trade on the NYSE under ticker symbol JILL.

Presidio: The New York-based IT services provider plans to offer 16.67 million shares at between $14 and $16 per share, and would have an initial market cap of approximately $1.33 billion were it to price in the middle of its range. The offering is basically designed to repay debt taken on when Apollo Global Management acquired Presidio in early 2015 from another private equity firm. The company will trade on the NASDAQ under ticker symbol PSDO.

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