Israel and Lebanon have agreed to a 45-day extension of their ceasefire after another round of talks in Washington, the US state department has said. It came after two “productive” days of talks, and more negotiations would be held from 2-3 June, the department spokesperson Tommy Pigott said. The shaky truce between Israel and the Hezbollah militant group in Lebanon had been due to end on Sunday. Pigott said on social media: “We hope these discussions will advance lasting peace between the two countries, full recognition of each other’s sovereignty and territorial integrity, and establishing genuine security along their shared border.” Earlier on Friday, the Israeli military said it had struck Hezbollah sites in southern Lebanon after reporting hostile aircraft alerts and launches from across the border. Lebanon’s health ministry said nearly 40 people were wounded in Israeli strikes near the coastal city of Tyre.…