The Israelis hope with a more aggressive push that by Thursday they will have destroyed all Hezbollah positions in southern Lebanon, CBS News correspondent Sharyn Alfonsi reports.
Thousands of army reserves have been called up in recent days in advance of the decision, which is expected to lead to sending more troops into the border area. Israeli leaders have said they want to carve out a zone about 1 mile wide that would be free of Hezbollah emplacements.
During the day, Lebanese fled north in overflowing trucks and cars, taking advantage of a lull in Israeli bombardment. Israel's prime minister took a tough line, apologizing for the deaths of dozens of Lebanese civilians in a single strike but declaring there will be no cease-fire.
CBS News correspondent Lee Cowan reports that Qana, the site of the strike, has become a rallying cry — one that's done more for Hezbollah's cause than anything else since the war began.
"The Lebanese people were split," one man in Qana told CBS News. "But after the Israeli massacre in Qana, we are all behind Hezbollah now."
Israeli forces have been operating in two segments of south Lebanon, sweeping through villages, fighting Hezbollah gunmen and leaving considerable destruction behind.
The participant, speaking on condition of anonymity because he was not authorized to talk to reporters, said Israel's air strikes in Lebanon would resume "in full force" after the 48-hour suspension expires in another day.
Israel agreed to the suspension, which began early Monday, in the wake of its bombing of a building in Qana, which killed killing dozens of civilians, most of them women and children.
But if the conflict is any closer to an end, there are few signs of it on the front lines, Alfonsi reports. In Israel, more tanks and troops are being pushed further into the Lebanon border.
However, the Security Cabinet, a decision-making body made up of senior ministers, decided to resume the offensive and broaden ground operations.
The participant said the international force must have the ability to intervene with force if necessary to keep Hezbollah guerrillas from returning to the border area. He said there was no deadline for the Israeli offensive, though the United Nations Security Council is expected to debate a resolution this week about a cease-fire.
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