The phrase "a process that will enable" is correct and usable in written English.
You can use it when describing a method or procedure that facilitates or allows something to happen.
Example: "We are implementing a process that will enable more efficient communication within the team."
Alternatives: "a method that will allow" or "a system that will facilitate".
Last week's agreement has started a process that will enable them to do so.
This is not going to happen.... Instead, we have to build a process that will enable us to ascertain that indeed a change is taking place in the Arab world.
Anticipating Mr Livingstone's victory Mr Blair, working on the peace process in Belfast, made arrangements to speak by telephone to the victor, a process that will enable him to avoid a photo handshake with the man he has repeatedly said will be a disaster for London and for Labour.
Energy companies are now negotiating with the Federal Energy Regulatory Commission for 30-year license renewals for three plants in Maryland and Pennsylvania, a process that will enable the United States Fish and Wildlife Service, corresponding state authorities and private sector conservationists to demand improvements to existing fish ladders.
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These records came directly from participants, though there are efforts to develop a process that will enable the direct collection of study participants' medical records from outside hospitals.
Ongoing work is focused on establishing a GMP-compliant manufacturing process that will enable the production of much larger quantities of RNA that meets regulatory requirements for human use.
In order to develop a cost-effective integrated construction process that will enable the maximum capability of automation of components for transport infrastructures using polymer based materials (carbon fiber, glass fiber, etc).
This knowledge is then related to the eCook concept, by identifying the potential users of this promising technology and outlining potential marketing strategies, as well as a user-focused iterative design process, that will enable social enterprises to reach them.
After 1974, Greece faces a severe forest fire problem and forest fire forecasting is the process that will enable the Greek ministry of Agriculture to reduce the destruction.
And notwithstanding the metastasisation of antisemitism on the web and state promotion of Holocaust denial, most openly and notoriously by Iran, there are many people in this country who denounce the process that will enable Germany to extradite and prosecute Töben.
