Israel-Gaza updates: Police killed in border shooting, authorities say

Israeli Prime Minister Benjamin Netanyahu doubled down on his position that Israeli forces cannot leave the Philadelphi corridor and still achieve Israel's goals of the war in Gaza during a press conference in Jerusalem Wednesday.

"I'm telling you that if we relieve the pressure, if we get out of the Philadelphi corridor, we are not going to get the hostages back," Netanyahu said.

The Philadelphi corridor -- a narrow strip of land on the Gaza side of the Gaza-Egypt border -- has been one of the main sticking points in reaching a hostage and cease-fire deal.

Netanyahu said Wednesday that Israel needs to control the corridor to release the remaining hostages in Gaza.

"I'm committed to returning the remaining 101 [hostages]. I'll do everything to get them, but leaving Philadelphi does not advance the release of the hostages, because the deal cannot be advanced," he said.

-ABC News' Ellie Kaufman

Around 65 projectiles were fired into Israel from Lebanon on Wednesday, the Israel Defense Forces said, with air raid sirens sounding and air defense units active in border areas.

"The IDF Aerial Defense Array successfully intercepted some of the projectiles, and some fell in open areas," the force said.

"A number of fires were ignited by fallen projectiles," it added, noting that emergency services were responding.

The IDF said it was "currently striking Hezbollah terror targets in southern Lebanon."

-ABC News' Jordana Miller and David Brennan

Hamas has issued a new threat tying Prime Minister Benjamin Netanyahu's premiership to the fate of the surviving Gaza hostages.

"Aggression stops = prisoners return alive," a Wednesday morning post on the group's official Telegram channel said. "Aggression continues = prisoners' fate unknown."

"Every day that Netanyahu continues to rule may mean a new coffin," the post -- which was written in English, Arabic and Hebrew -- continued. "The decision is yours."

Hamas and Netanyahu have blamed each other for the failure to reach a cease-fire deal. Hamas said Netanyahu's demands are "aimed at obstructing reaching an agreement to preserve his power."

Netanyahu, for his part, said this weekend of the militant group: "Whoever murders hostages -- does not want a deal."

There are 101 hostages still inside Gaza, around half of whom are believed to still be alive.

-ABC News' Nasser Atta and David Brennan

More than 187,000 children in central Gaza have received polio vaccines since Sunday, according to the World Health Organization (WHO).

WHO Director-General Tedros Adhanom Ghebreyesus wrote on X on Wednesday that the "first phase of polio vaccination in central Gaza is complete," with more than 187,000 children under the age of 10 vaccinated.

That is higher than the target number of 156,500, Ghebreyesus said.

"Four fixed sites will continue to offer polio vaccination for the next three days in central Gaza to ensure no child is missed," the WHO chief added.

Preparations are underway to expand the vaccine roll out campaign into southern Gaza, Ghebreyesus said. Vaccinations there are expected to begin on Thursday.

Palestinian health authorities and United Nations agencies hope to vaccinate 640,000 children.

Israel agreed to partial pauses in the fighting in Gaza to facilitate the polio vaccination campaign, saying the drive will continue through Sept. 9 and last eight hours a day.

"We ask for the humanitarian pauses to continue to be respected," Ghebreyesus wrote. "We continue to call for a cease-fire."

-ABC News' Kevin Shalvey and David Brennan