The poll was released two months before Israeli elections.
It also showed the alliance of Likud and Yisrael Beitenu, the parties of Prime Minister Benjamin Netanyahu and Foreign Minister Avigdor Lieberman, has lost some ground, but the alliance would still maintain its ability to form a government if the election were held this week.
The poll said that the coalition partners would win 37 seats in the 120-member seat Israeli parliament, the Knesset. A poll before the offensive and cease-fire said it would win 43.
The Israeli offensive was widely popular in the Jewish state, backed by more than 90% of Israeli Jews, a Haaretz poll said on Monday. Only 30% backed a ground attack.

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