Marketing Persona VS UX (Design) Persona

This would be my 2nd question in UX Stackexchange to clarify my understanding. I've been developing Persona for sometime but this is my first time to collaborate UX with Marketing Team. I found out that Marketing do create persona based on Demography, which is something that I didn't do with creating Persona in UX.

Does Design Persona is a more detailed version to Marketing Persona or they're different?

When we're developing product, I don't believe that having 2 different persona created by 2 different division should collide while the goal is to create 1 product.

e.g. What's the bigger workflow when we're developing product? should it start with marketing's persona then we use that persona to create a more detailed Design persona? or should we just use Marketing Persona (which is based on my understanding isn't really how UX is done)? or the process really different and doesn't link together?