Murray walks to a Senate Democratic caucus luncheon at the U.S. Capitol in WashingtonBy way of Richard Cowan WASHINGTON (Reuters) – A budget deal geared toward avoiding a U.S. government shutdown on January 15 and relieving federal agencies of some indiscriminate spending cuts which can be set first of all the new year might emerge in Congress on Tuesday, congressional aides stated on Monday. Democratic Senator Patty Murray and Republican Consultant Paul Ryan are scheduled to satisfy on Tuesday with the purpose of finalizing a deal, in keeping with aides who requested to not be recognized. For the prior several weeks, Murray and Ryan, who head their chambers' respective finances panels, have been privately trying to reach a two-yr finances deal that aims to end the Republican-Democratic brinkmanship over fiscal affairs that ended in October's 16-day partial federal government shutdown. According to aides, Ryan and Murray had been discussing an unambitious plan that will droop one of the most automated spending cuts, known in Washington as "sequestration," that hit the Pentagon and other companies arduous.