The phrase "advance that one" is correct and usable in written English.
It can be used in contexts where you are requesting someone to promote, move forward, or prioritize a specific item or task.
Example: "Please advance that one to the top of the list so we can address it first."
Alternatives: "move that one forward" or "prioritize that one".
If this result could be generalized to any geometry, it would be theoretically impossible to distinguish the objects shown in Figure 4. Thus, one advance that emerges from our simulations is that resolution depends on the object geometry.
The advances in legal procedure that one encounters as the pages pass are even more striking: providing witnesses with chairs, permitting the accused to testify, allowing juries adjournments and food during deliberations — each improvement makes one realize that, once upon a time, such things were not done.
It was a technological advance that led to a conceptual one.
Targeted reinnervation is one exciting advance that allows for more facile and more intuitive function with prosthetics following proximal amputation.
One major advance that needs to occur next is enhancing systems engineering languages to address the needs of all stakeholders especially non-engineers.
(Surely surely?—Child must have worked at least some of that one out in advance).
The main advance is that one can mix sequence and structure on equal probabilistic terms without any ad hoc weighting of the terms.
My hope and prayer will always be that our science and interventions will advance so that, one day, no woman will have to endure the pain of letting post partum depression, or psychosis, rob their joy.
Furthermore I venture to suggest in advance that no one else has EVER been on them.
Mrs. Rell had asked in advance that no one bring gifts, and she gently turned down at least one small package offered.
