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New Jersey’s top three elected state officials are planning to resume negotiations next week on long-delayed proposals to increase the minimum wage and legalize marijuana in the state, NJ Advance Media has learned.

Gov. Phil Murphy and his fellow Democrats who lead the state Legislature — state Senate President Stephen Sweeney and state Assembly Speaker Craig Coughlin — are expected to hold their first meeting of the new year, tentatively on Jan. 10, according to two legislative sources with direct knowledge of the situation.

The sources spoke on the condition of anonymity because they are not authorized to publicly discuss the matter.

The three leaders enter 2019 hoping to make headway on two big-ticket Democratic priorities that stalled last year: a bill to increase the state’s minimum wage to $15 an hour and another to legalize recreational marijuana here.

Insiders say Murphy and legislative leaders are much closer to agreeing on a final minimum wage bill — with a vote possibly coming by the end of this month.

It’s unclear how close they are to an agreement on legal pot, but that’s expected to take longer.

The governor and legislative leaders need to work together to institute new laws. But while Democrats now control all branches of government in the Garden State, the progressive-minded Murphy had a sometimes fractured relationship with the more moderate Sweeney, D-Gloucester, and Coughlin, D-Middlesex, in his first year as governor.

Though all three have pledged to hike the minimum wage and legalize weed, they haven’t agreed on the details of how to do it. And the tension helped push both issues off into the new year.

The three men went months without meeting this past fall. But they all said their last face-to-face meeting, held last month, was a positive one.

On minimum wage, Coughlin introduced a bill late last year that Sweeney supported. It would phase in a $15 minimum wage gradually until 2024.

But Murphy said he didn’t like how long it would take to reach that point, or that the measure calls for a decade to gradually increase the rate for seasonal workers, teenagers, and some farm workers.

The governor’s office said Murphy and lawmakers made “significant progress” on the issue in last month’s meeting. Sweeney said he was “optimistic.”

On marijuana, one big holdup is how much the state would tax legal weed. Murphy and lawmakers have been far apart on what the rate should be, sources say.

Another sticking point is who would regulate the state’s new cannabis industry. Murphy wants the state to be in charge. Lawmakers want an independent commission that both they and the governor approve.

Murphy said last month he hopes to institute legal pot “sooner than later.”

Another topic that could come up next week: new tax increases.

Murphy’s call to increase some taxes in the current state budget to help pay for more funding for education, transportation, and more was initially met with backlash from Sweeney and Coughlin. The leaders narrowly avoided a state government shutdown last summer with a compromise.

But Murphy has refused to rule out a new round of increases in his second budget proposal. Sweeney and Coughlin have already said they wouldn’t agree to hikes — at least not without significant cuts to state government spending.

Murphy will unveil his next budget plans in March.

Brent Johnson may be reached at bjohnson@njadvancemedia.com. Follow him on Twitter @johnsb01. Find NJ.com Politics on Facebook.