The New York City Housing Authority has just five weeks to stay on schedule with its sweeping redevelopment plan for the Elliott-Chelsea Houses in Manhattan.

The city plans to replace the aging public housing complex with new buildings for existing public housing residents, plus several thousand more affordable and market-rate units.

Demolition was slated to start on the first of two buildings before the end of this year, but the project now faces legal hurdles — and pressure from some elected officials — after some residents have refused to leave.

New York Attorney General Letitia James and several state and federal lawmakers sent a letter to city housing officials last week requesting they pause the project until the start of the new year to give residents more time to understand th

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