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The phrase "are ultimately based on" is correct and usable in written English.
It can be used to indicate that something is founded or derived from a particular source or principle, often implying a final or conclusive basis.
Example: "The conclusions of the study are ultimately based on the data collected over the past five years."
Alternatives: "are fundamentally derived from" or "are primarily grounded in".
Exact(13)
The IUPAC rules govern all classes of organic compounds but are ultimately based on alkane names.
A more realistic perspective would recognise that sustainable population movements are ultimately based on enabling people to make location decisions on the basis of choice not compulsion.
Dictatorships are ultimately based on terror not necessarily overt repression, but the knowledge that lurks at the back of every citizen's mind that there are lines that cannot be crossed without incurring terrible penalties.
Or there could be more complicated underlying challenges within the polling industry, due for example to the fact that a diminishing number of people use landlines or that internet polls are ultimately based on a self-selected sample.
His most important work, however, is considered to be The Origin and Development of the Moral Ideas, 2 vol. (1906 08), in which he proposed a theory of ethical relativity according to which moral judgments are ultimately based on emotions of approval and disapproval rather than on intellect.
Statistical models are, ultimately, based on assumptions of human behavior.
Similar(47)
Egalitarian ambitions aside, their partnership is ultimately based on mutual understanding and acceptance.
But, second, while our leadership requires American valor, it is ultimately based on American values.
Solid confidence is ultimately based on knowledge, on an understanding of underlying mechanisms and a mental accounting of the reasons for security.
Kirshner reminds us that despite the all-encompassing "theories of everything" being promoted today, cosmology is ultimately based on observations and experiments.
The Protocol is ultimately based on the 1996 Scientific Assessment Report issued by the Intergovernmental Panel on Climate Change (IPCC), a U.N. advisory body". "The essay attempts to trace the various motivations that led to the Kyoto Protocol.
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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