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"factual approach" is correct and can be used in written English.
You could use it to describe an approach used by someone when they seek to examine a situation objectively and based upon facts rather than opinions. For example, "She took a factual approach to examining the evidence, weighing the pros and cons of the various scenarios before making a decision."
Exact(11)
But Mr. Valdez also departs from a purely factual approach.
It has also been generally accepted that an encyclopaedia should adopt a straightforward, factual approach.
Lee, the former chief of Google in China, suggested that his 10 million followers use a "civilized and factual approach" to persuade Leonard he had erred.
While I always enjoy reading your factual approach to this administration's decisions in foreign policy, healthcare or taxes, I think that this issue, and world trade in general, are not debated enough in this country.
The basic principles of quality management, such as customer focus, process approach, continuous operational improvements, and factual approach to decision-making, allow firms to operate more cost-effectively.
This latest version is based on the quality management principles, addressed in ISO 9000 and ISO 9004, i.e. customer-focused organization, leadership, process approach, system approach to management, continual improvement, factual approach to decision making, and mutually beneficial supplier relationship.
Similar(49)
But here we have something similar to the counter-factual approach in his magnificently terrifying The Plot Against America.
This counter-factual approach is nothing new and was the stock-in-trade of most anti-communist and pro-Stalin ideologues for much of the last century.
The counter-factual approach to causality (last statement in Table 1), although of questionable empirical content, has great heuristic strengths.
(Hume gave several "definitions" of a cause, among these also what has been called the counter-factual approach, discussed below).
So this case makes matters a bit harder for those favoring a factual detachment approach for generating actual obligations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com