The phrase 'determined by the same' is correct and can be used in written English.
For example, "The temperature of each substance was determined by the same measure."
Their lives are determined by the same weather patterns and infrastructural constraints.
Newton argued that the movements of celestial bodies and the free fall of objects on Earth are determined by the same force.
It won't be determined by the same challenges of the past — South Florida's hot, wet summer weather, and Loria's traditionally low payroll.
Liability exposure has always been determined by the same standard of American jurisprudence, that which has been proven to a jury to be just and proper compensation for negligence.
It follows the usual pattern: With key figures kept incommunicado, information is selected (or fabricated) according to political needs, then released in channels determined by the same considerations, Mr. Wang said.
Banks are just another kind of financial intermediary, and the size of the banking sector — and hence the quantity of outside money — is determined by the same kinds of considerations that determine the size of, say, the mutual fund industry.
Households that participate in SNAP under this "broad-based categorical eligibility" rule still have benefits determined by the same formula (of household size and net income) as the other SNAP beneficiaries.
The total Fe content was determined by the same way after reduction of iron by SnCl2.
The hyperparameter K was determined by the same cross-validation procedure as for SVM's.
Consequently, under the condition of mass conservation, ∆LOD is also determined by the same above factors.
Antifungal effect of bacterial cell-free supernatant was determined by the same method.
