Lebanese state media say Israeli ground forces reached their deepest point in Lebanon since they invaded six weeks ago, before pulling back after fierce battles with Hezbollah militants.

Israeli troops are understood to have made their deepest incursion into southern Lebanese territory since the recent offensive began on October 1, as the militant group Hezbollah considered its response to a fresh ceasefire proposal.

The U.S., Israel’s closest ally, holds the key to whether the U.N. Security Council adopts a cease-fire resolution.

Israeli ground forces reached their deepest point in Lebanon since they invaded six weeks ago before pulling back Saturday.

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