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The effectiveness of the Taliban’s campaign will in part determine the size of President Obama’s planned drawdown of American troops in July.

NATO has committed itself to handing over control of security to Afghans by 2014.

Also Sunday, the Afghan government submitted its proposal for a strategic partnership agreement to U.S. officials, the president’s office said. The compact, which has been in negotiations for months, aims to create a formal framework for the massive U.S. presence in the country. There currently is no bilateral agreement governing the U.S. military and civilian campaigns in Afghanistan.

Mr. Karzai previously pledged to put strict conditions on the U.S. going forward, including rules for the conduct of soldiers, minimum funding levels and development priorities.

Waheed Omar, a spokesman for Mr. Karzai, declined to provide specifics of the draft.

“Our position is that whatever comes out of this strategic partnership agreement, it has to be binding,” Mr. Omar said.