The long-delayed plan to extend the MBTA’s Green Line to Somerville and Medford remains alive after a vote to ask federal transit officials to review a modified proposal with a lower price tag.

The action on Monday by the state transportation board and the control board that oversees the Massachusetts Bay Transportation Authority came after several hours of discussion about the 4.5-mile Green Line Extension.

A new estimate pegs the cost of the redesigned project at $2.3 billion, which is higher than original estimates but lower than projections that led to Republican Gov. Charlie Baker’s administration putting the project on hold last year. Officials say a number of issues still must be resolved before it can go forward.

In total, changes made to the original plan are expected to save $622 million.

Those changes include simplified station and bridge designs, and the community path alongside the station and tracks being shortened by about 3,000 feet.

The federal government previously committed $1 billion for the project.

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