产地证寄出的英文表达可以是：
Certificate of origin sent
Certificate of origin dispatched
Certificate of origin mailed
产地证通常是指一种文件，证明货物的产地来源。这种文件通常由货物的生产商或出口商开具，用于向进口商或海关提供有关货物来源的信息。这些文件通常在货物发送到目的地之前寄出。
下面是一些英文例句和中文翻译：
Please send us the certificate of origin for the goods we ordered. (请为我们订购的货物寄出产地证。)
The certificate of origin was mailed to the customer along with the invoice. (产地证随发票一起寄给了客户。)
The customs officer asked for the certificate of origin before allowing the goods to be imported. (海关官员在允许进口货物之前要求提供产地证。)