I'm going to be very blunt here and repeat something that was once said to me regarding the Palestinians: "They breed like animals."
As racist and dehumanizing as that is, I'm repeating it because it's an explanation for why a single state solution (absorbing the Palestinian population and granting them Israeli citizenship) is never going to be an option. If Arab citizens outnumber Jews, Israel would cease to be a Jewish state.
That means that any solution acceptable to Israel must require that the Palestinians either eke out a living on their designated reservations and shut the fuck up, or leave. A third option involving partial integration might look like apartheid South Africa in the 1980s, but that probably looks like a 'slippery slope' given how that situation in SA turned out.
As long as I'm repeating nasty things people have told me, I'll repeat something else that seems analogous to me. A coworker who was a Hungarian immigrant to North America once explained to me that in the 1930s Hungary repeatedly asked their Jewish population (nicely) to get the fuck out of their country. By her account, the Hungarians didn't care where they went. They didn't even want anything bad to happen to the Jews. They simply didn't want them there and they gave them ample opportunity to go away on their own. Again, by her account.
It was a terrible dilemma until the Germans came in and solved their problem. She said it was a great thing that the Germans did for her country.
That was the day I learned I was carpooling with a fucking Nazi. In Canada. In 2004. Those were more innocent days for me.