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To import it open Thunderbird, go to address book/tools/import. Choose the text file option in the next window (Text File (LDIF,.tab,.txt,.csv). In the 'select address book file' window change the 'Files of type' to 'All Files'. Then choose 'Address.csv' .
Now comes the tricky part.
Option 1: You import only the aliases and email addresses and nothing else. In this case remove all but theses to checkmarks and sort the fields accordingly.