The fast-track approach is deemed essential to give the bills time to advance in the more-deliberative Senate, where 60 votes are needed to overcome an almost certain filibuster.
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With House passage almost certain, opponents and supporters are already turning an eye toward the more difficult path ahead in the Senate.
[Public Justice's Paul] Bland, an opponent, said the final tallies will be significant because of the implications for what happens in the upper chamber.
“If the Republicans lose any substantial number of members in the House, there’s a significant chance” that Senate Majority Leader Mitch McConnell (R-Ky) will “not want to waste much floor time on the bills,” he said.