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PMA said ships will not load or unload cargo Thursday, Saturday, Sunday or Monday due to continuing ILWU slowdowns.
Employers "hopeful that this will allow us to move toward conclusion of an agreement in the near term."
Transpacific carriers cite port congestion and stronger demand as economy improves.
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.