NEW YORK — It’s called “McPick 2.”

Two years after McDonald’s phased out its highly popular Dollar Menu without offering diners a suitable substitution, the restaurant chain is set to launch its “McPick 2” menu early next year.

With the new menu, customers can pay $2 for two items among a selection of the McDouble and McChicken sandwiches, small fries and mozzarella sticks. The price returns some sandwiches to the key $1 point that had fueled McDonald’s astonishing sales growth from 2003 to 2013. Enough franchisees have signed off on the plan to put it on the national menu, where McPick 2 will debut on Jan. 4 with a five-week run.