More than half of Israel’s population are descendants of Jews who never left the Middle East. Less than half immigrated from Europe & Eastern Europe. Eastern Europeans began migrating there in the late 1800s to escape the pograms & purchased land from Arab landowners.
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https://en.m.wikipedia.org/wiki/United_Nations_Partition_Plan_for_Palestine
https://en.m.wikipedia.org/wiki/1948_Arab–Israeli_War