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Mr. DeMarco said he has yet to find lead sponsors for his legislation but he could turn to Sen. Jennie M. Forehand or Delegate Sheila E. Hixson, Montgomery Democrats who unsuccessfully sponsored tobacco-tax increases last session.

Ms. Hixson, chairwoman of the House Ways and Means Committee, said she is uncertain whether she would sponsor such a bill and will have to weigh the state’s overall tax situation before deciding.

“I know there are health reasons, but I have to see the whole picture before I can make any determination,” she said.