It is very hard to imagine a government led by Mr Netanyahu and with Mr Bennett somewhere in its ranks negotiating seriously about a two-state solution - something that will anger Palestinians and frustrate American and European leaders.
They were profoundly unhappy with Mr Netanyahu's apparent commitment to the two-state solution - although many of the prime minister's critics maintain he, too, is increasingly hostile to the notion of a Palestinian state, certainly within the so-called "Green Line" or 1948 ceasefire lines.
The Palestinians' chief negotiator Saeb Erakat said such a settlement will dash any hopes of a "two-state solution" -- with Israel and an independent Palestinian nation, living together in peace.
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He told senators at his confirmation hearing that "we need to find a way forward, and I happen to believe there is a way forward, but the window or door on a two-state solution could shut - and that would be disastrous for all concerned".
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However, in 2009, under pressure from the United States, Mr Netanyahu affirmed his support for a two-state solution to the Israel-Palestinian conflict with conditions attached.
This, his aides say, means he cannot answer for the moment such niggling questions as whether he accepts the very concept of a two-state solution to the Israeli-Palestinian conflict.
There have been mounting calls in Europe to suspend a planned upgrade in relations with Israel until its new cabinet publicly expresses support for a two-state solution to the Israeli-Palestinian conflict.
As two decades of peace talks have failed to secure a two-state solution to the Israeli-Palestinian conflict, Palestinian officials insist the time is right to ask the UN to grant full membership to an independent state of Palestine.
Kerry has said he fears there is only a two- or three-year window of opportunity to reach a deal on a two-state solution that would end the decades-old Israeli-Palestinian conflict and wants to move as quickly as possible.
Such straight talk has brought Naftali Bennett much criticism from those inside and outside Israel who support the goal of a two-state solution (Israel and an independent Palestine living side-by-side).
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It was Netanyahu who accepted a two-state solution and then enforced, upon American demands, a 10-month moratorium on settlement building, which was also an attempt to reach out to the center left.
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Such a weakened government also would leave the Israeli leader little room to maneuver in dealings with Washington, which favors a two-state solution with the Palestinians and could damage his standing with his hard-line base.
What was widely praised as a bold, far-sighted solution to the state's infrastructure problems is in fact little more than a Band-Aid.
We know the two-state solution you said is a critical interest of the United States.
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Netanyahu, of the center-right Likud party, has pointedly refused to endorse a two-state solution.
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It would be neither independent nor viable, and would end the two-state solution as commonly understood.
The US supports a two-state solution, with Israel existing peacefully alongside a Palestinian state.
As you know, the United States has worked consistently toward the goal of achieving the two-state solution.
"All of them are for a two-state solution, " he told me on BBC World TV's Impact programme.
So those seeking a two-state solution still hope for a division of land between the two nations.
Palestinian President Mahmoud Abbas said it was the "last chance to save the two-state solution" with Israel.
"It would represent an almost fatal blow to remaining chances of securing a two-state solution, " Mr Ban said.
Second, we desperately need a two-state solution between Israel and the Palestinians that provides security, justice and hope.
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Asked about the Israeli-Palestinian peace process, Mr Netanyahu said the creation of a two-state solution depended "on the Palestinians".
The report welcomed the endorsement by the Israeli Prime Minister Benjamin Netanyahu of a two-state solution to the conflict.
The Palestinian UN Ambassador Riyad Mansour described the move as "a very important step to save the two-state solution".
Is a two-state solution really the only alternative for Israelis and Palestinians now?
The PLO issued a statement after the meeting criticizing Netanyahu for failing to more explicitly endorse a two-state solution.
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