Which only means that they never went into an Italian consulate and renounced their citizenship.
Here's another site that explains the documentation required:Italian Dual Citizenship
Which only means that they never went into an Italian consulate and renounced their citizenship."
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Incorrect
Italians have only been able to keep their Italian citizenship (in some but not all cases) when voluntarily acquiring foreign citizenship since 1992. Your great-grandfather and grandfather naturalized way before that and consequently lost their Italian citizenship.
Since 15 August 1992 the voluntary acquisition of foreign citizenship no longer leads to automatic loss of Italian citizenship. Italian Government Citizenship FAQ