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If the legislation of a Contracting Party makes admission to voluntary insurance or optional continued insurance conditional upon the completion of periods of insurance, the institution applying that legislation shall to that end, for the purpose of adding periods together, take account, to the extent necessary, of periods of insurance completed under the legislation of any other Contracting Party and, where appropriate, of periods of residence completed after the age of sixteen under the non-contributory scheme of any other Contracting Party, as if they had been periods of insurance completed under the legislation of the first Party.