High-powered online travel companies have asked the Nevada Supreme Court to order the dismissal of a lawsuit alleging they avoided paying hundreds of millions of dollars in hotel room taxes.

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In court papers this week, lawyers for the big-name online booking firms – including Orbitz, Travelocity, Expedia, Priceline and Hotels.com – said they want the Supreme Court to instruct the district judge presiding over the case, Mark Denton, to toss out the suit.

Denton sent the litigation on a path to trial last month when he refused to reconsider another judge’s decision denying a dismissal motion.

The 2020 suit, filed by well-known Las Vegas communications consultants Sig Rogich and Mark Fierro, seeks damages on behalf of the state against the web-based companies. Nevada Attorney General Aaron Ford is backing the case.