You don't provision and manage the infrastructure associated with your DB. Someone else does it for you and you just focus on querying/storing the data and whatever else your business requires you to do.
Not provisioning & managing is part of it, but the pricing model is important too. e.g. RDS and Mongo Atlas are managed database services so you're not provisioning and managing the infra, but you are paying for dedicated machines and their sizes, etc.
>but you are paying for dedicated machines and their sizes
I see this as provision & managing as well, but yes I see your point. Ultimately it's about the user only caring about its data and nothing else (to the extent possible).