From 2h agoSummary: Conflict in Lebanon continues despite Trump hailing Israeli-Hezbollah de-escalationHello and welcome to the Guardian’s continuing coverage of the crisis in the Middle East.Donald Trump has hailed an agreement to de-escalate the fighting in Lebanon, which has killed thousands of people and inflamed tensions in the broader US-Israeli war with Iran.Trump said Hezbollah, through intermediaries, had pledged not to attack Israel, while Israeli prime minister Benjamin Netanyahu agreed to pull back any troops preparing to attack Beirut.“Let’s see how long that lasts – Hopefully it will be for ETERNITY!” Trump wrote on his Truth Social platform.According to Lebanon’s embassy in Washington, the agreement would not end the conflict in that country. But it calls for Israel to refrain from strikes on Beirut and its suburbs controlled by Hezbollah, while the Iran-aligned group would halt its attacks on Israel.Traffic on a Beirut highway on Monday as residents flee after an Israeli threat to strike the southern suburbs. Photograph: Bilal Hussein/APDespite the agreement, hostilities in southern Lebanon – which Israel invaded in March – appeared to continue. This morning, the Israeli military said that it intercepted two projectiles that crossed from Lebanon into northern Israel, and that no injuries were reported.After Trump’s announcement, Netanyahu said Israel would continue military operations in southern Lebanon, where ground forces are pushing toward the Zahrani River, their deepest incursion in Lebanon in 25 years. His statement made no mention of a new ceasefire.Hezbollah lawmaker Hassan Fadlallah said the group would support a full ceasefire across all Lebanon as a precursor to the withdrawal of Israeli troops. He did not say whether the group would stop its strikes on Israeli territory.Lebanon said it would seek to expand the ceasefire in talks with Israel in Washington tomorrow. That could clear the path for renewed efforts to end the three-month-old war that began with US and Israeli attacks on Iran. The process has been stuck in limbo for weeks under a fragile ceasefire as negotiators have been unable to agree on an initial framework for peace talks.In other developments: