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PMA said ships will not load or unload cargo Thursday, Saturday, Sunday or Monday due to continuing ILWU slowdowns.
Port of Long Beach CEO said ports are in a "perfect position" to play this role.
Employers "hopeful that this will allow us to move toward conclusion of an agreement in the near term."
Congress passed a 7-day extension to keep the department running while negotiations over immigration dispute continue.
Texas’s exports reached $289 billion and California topped $174.1 billion in export value for 2014.
Economy grew at 2.2% pace, government says.