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U.S. officials said the terrorist network’s core in Pakistan and its ability to carry out large-scale attacks in the United States have been all but demolished, leading to a shift in focus to emerging threats elsewhere. Recent attacks on U.S. facilities in Libya and a natural gas complex in Algeria, combined with the growing strength of an affiliate in Syria, have drawn attention to the lethal potential of an increasingly atomized al-Qaeda network, officials said. And though the targets of the groups have largely been regional, their multinational memberships and adherence to al-Qaeda’s ideology have heightened concern that the violence could eventually spread.