If apparently valid subscriptions are not processed there may be different reasons:
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The e-mail address they are sent to is not the address used for managing the list
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The originating address is already present in the list
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The wrong list was selected (please remember that each list has a different account)
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The subscribe message has a wrong format
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The message was already processed before
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The new messages are not subscriptions, but “normal” messages on that mailbox (they could even be spam)
To test that everything is ok, you should create a blank “test” list, configure a fresh e-mail address for managing subscriptions (please note that each list may have a dfferent account), send a subscribe message to that address, and then download subscriptions for “test” list. Bulk emailing can be easy with a bulk emailing software.