It matches up with historical precedent & the DNA stats I showed: Jews moved into these places, bought some natives into their religion & mixed with them, and then spread out following expulsions. All those Italians & Spaniards who have that "semitic look" are likely Jewish themselves.
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They mixed with some of the locals, and when they got expelled they took that mixed blood with them. Hence, why some Jews can pass as White.
They do, but the levels of control will vary depending on the situation.
Mainly the mainstream sources.
I do agree certain tests may be manipulated, such as the (((MyHeritageDNA))) ones since the company was literally founded by an Israeli Jew in Israel.
However, historical/traditional anthropology also provides certain good sources & insight. Many historical/traditional anthropologist classified Jews as having origins in the Middle-East, which is supported by historical fact, and classified them as part of the Semitic race with Orientalid & Armenoid phenotypes. We still see elements of these phenotypes present in modern mixed-Jewish population:
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The data I showed also was measuring/estimating the distance between certain populations, and the ashkenazi Jewish population correlates heavily with Middle-Eastern DNA from the Levantine.