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“The Americans could open a new front with the Central African Republic authorities and pursue Kony with more flexibility from that side,” Mr. Izama said.

It remains unclear how long the U.S. troops will stay in Africa, especially if the LRA leaders continue to remain elusive. Ms. Renner said U.S. officials continue to talk with their African partners to ensure the American presence is having its intended security effect.

Ugandan military officials insist that the Lord's Resistance Army, even if its top leaders remain free, is degraded and fading fast, with its fighters — about 200 combatants — constantly moving to avoid detection and struggling for food.

Kony has been denied the freedom to abduct at will,” Col. Kulayigye said. “He can’t increase his numbers.”