Summary
If you are receiving advertising emails from Bose and click the Unsubscribe link, you will not be immediately unsubscribed. Instead, you will be asked to provide your email address. Then you will be told to enter a 6-digit code that will be sent to your email address.
When you receive that code and enter it in the box provided. After a short wait, you will be told that the number is invalid as shown in the example below.

How to Unsubscribe
It’s possible that you are signed up to receive updates from Bose, but have not yet setup a customer account on the Bose website. If so, you can setup an account and then change your communications preferences in your account settings once it is setup. This approach worked when tried and may work for you.