What is the lie? These headlines are not edited in any way. Writing suggestive or misleading headlines and/or articles is a key component in manufacturing consent as headlines are by far the most important part of an article which decide even whether people will click on it.

The most consistent theme we find is that Palestinians keep being "found dead" instead of having being killed.

None of them use "killed" when talking about the little girl. I presume that's because she survived the first Israeli attack (hence being on the phone for three hours), was assumed to be alive, and probably died of exposure as far as I can find.

That means she died of natural causes and israel was not responsible?

Coverage of Gaza War in the New York Times and Other Major Newspapers Heavily Favored Israel, Analysis Shows

Major U.S. newspapers disproportionately emphasized Israeli deaths in the conflict; used emotive language to describe the killings of Israelis, but not Palestinians; and offered lopsided coverage of antisemitic acts in the U.S., while largely ignoring anti-Muslim racism in the wake of October 7.

One typical headline from the New York Times, in a mid-November story about the October 7 attack, reads, “They Ran Into a Bomb Shelter for Safety. Instead, They Were Slaughtered.” Compare this with the Times’s most sympathetic profile of Palestinian deaths in Gaza from November 18: “The War Turns Gaza Into a ‘Graveyard’ for Children.” Here “graveyard” is a quote from the United Nations and the killing itself is in passive voice. In its own editorial voice, the Times story on deaths in Gaza uses no emotive terms comparable to the ones in its story about the October 7 attack.