How do I get access to the database, on a purchased forum?

Did you buy the Cloud version maybe? Then there is no way to direct access to the DB I am afraid.

The only way to back up or download the whole DB is contact with IPS Team.

11 minutes ago, DawPi said:

The only way to back up or download the whole DB is contact with IPS Team.

How contact with them?

43 minutes ago, DawPi said:

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You can contact us via the contact form there or via the Client Area support system for Cloud users.