History went into reverse Tuesday, as a major employer crossed municipal limits on I-91—but this time it moved from the suburbs into the city.

The move was a homecoming of sorts for Alexion Pharmaceuticals.

Lured by up to $51 million in state aid, Alexion—which hatched in New Haven, then fled as it grew—is reversing the flight-to-the-suburbs trend and returning its corporate headquarters from Cheshire to New Haven’s new Downtown Crossing project.

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