The Justice Department gets a second chance to force a breakup of Alphabet Inc.’s Google on Monday as it heads to court before the Virginia federal judge who ruled the search giant illegally monopolized advertising technology markets.

Judge Leonie Brinkema in Alexandria is expected to hear testimony over two weeks from website publishers, advertisers, technology experts and Google’s own employees about whether the company should be forced to divest a key piece of its business — the advertising exchange AdX.

The Justice Department and a group of states say a sale is the best way to restore competition in the market for online display advertising, the ads that appear on news sites, blogs and other websites to help offset the cost of producing content. The company says a full divestiture of

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