Lebanese army did almost nothing in the 2006 war. They just let Hezbollah fight since Hezbollah is mainly present in South Lebanon. Hezbollah is about as large as the Lebanese army.

Rn, they moved back to 5km from the border. https://www.reuters.com/world/middle-east/apartment-building-beirut-hit-israel-widens-air-campaign-2024-09-29/

Lebanese troops pulled back about five kilometres (3 miles) from positions along Lebanon’s southern border with Israel, a Lebanese security source told Reuters. A Lebanese army spokesperson did not confirm or deny the movement.

And further yapping from the PM (the richest man in Lebanon with net worth of $2.8 billion): https://www.reuters.com/world/middle-east/lebanon-hold-session-elect-president-after-ceasefire-caretaker-pm-says-2024-09-30/

BEIRUT, Sept 30 (Reuters) - The Lebanese government is ready to fully implement a UN resolution that had aimed to end Hezbollah’s armed presence south of the Litani River as part of an agreement to stop war with Israel, caretaker Prime Minister Najib Mikati said. Mikati said Lebanon was ready to fully implement UN Security Council Resolution 1701 and deploy the army south of the river, which lies about 30 km (around 20 miles) from Lebanon’s southern border. Mikati also said he and House Speaker Nabih Berri had agreed that electing a new president to end a near two-year vacancy at the top post would only happen after a ceasefire took hold, in comments delivered after the pair met in Beirut.

“We in Lebanon are ready to implement 1701, and immediately upon the implementation of the ceasefire, Lebanon is ready to send the Lebanese army to the area south of the Litani River and to carry out its full duties,” in coordination with UN peacemakers, Mikati said. He said parliament would then convene to elect a consensus president. UNSC 1701 ended the month-long 2006 war between Hezbollah and Israel and called for a full Israeli withdrawal from southern Lebanon and that the Lebanese army and UN peacekeepers be the only armed force south of the Litani River.