The Obama administration continues to try to facilitate a long-shot debt-reduction agreement with reluctant General Motors bondholders despite the company's fast-approaching bankruptcy deadline, the White House said Wednesday.

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While overwhelming rejection by bondholders Tuesday of a proposed debt-equity swap set the stage for a GM bankruptcy by June 1, the administration said it is not giving up on what industry experts believe is an element of the automaker's restructuring that is destined to be settled in court.