Israel and Lebanon agree to implement ceasefire

June 3 (Reuters) - Lebanon and Israel have agreed to the implementation of a ceasefire, according to a joint statement with the United States released by the State Department on Wednesday following negotiations in Washington.The ceasefire is contingent on a complete cessation of fire from the Iran-aligned Hezbollah militia and the evacuation of all its operatives from the South Litani Sector, according to the statement. The two sides had agreed last month to a ceasefire but hostilities had continued.