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White Sox send Jim Thome to Las Vegas to meet with Bryce Harper

The White Sox aren’t letting the state of their rebuild stand in the way of having lofty ambitions.

In their latest quest to challenge on a long-term basis, Hall of Fame slugger Jim Thome flew to Las Vegas last month as part of the organization’s sales pitch to marquee free-agent slugger Bryce Harper, a source confirmed Tuesday.

Despite the rebuild, the need is great for Harper, a six-time All-Star right fielder who has averaged 33 home runs over the last four seasons and could command a lengthy contract in excess of $33 million annually.