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The phrase "absence of a centralized" is correct and usable in written English.
It can be used when discussing a situation or system that lacks a central authority or organization.
Example: "The absence of a centralized decision-making body can lead to confusion and inefficiency within the organization."
Alternatives: "lack of a centralized" or "nonexistence of a centralized".
Exact(14)
A nagging challenge is the absence of a centralized database of injuries.
Yet the absence of a centralized program inevitably raises equity issues.
First is the absence of a centralized pension agency like the Social Security Administration in the United States.
The absence of a centralized security force and a clear chain of command has left Tripoli and other Libyan cities at the mercy of their most powerful militias.
Yet his primary interest in dialectic was as a tool for exposing the "fallacies" of rival schools, and he bitterly lamented the need for dialectic in the absence of a centralized political authority that could impose ideological unity from above.
Despite the widespread destruction of the temples, Hinduism endured, in part because of the absence of a centralized authority; rituals and sacrifices were performed in places other than temples.
Similar(46)
Availability of a centralized data warehouse allows combining data from different sources, including cross-omics analyses.
Gastrocnemius muscle biopsy in this patient revealed scattered necrosis in the absence of inflammation or centralized myonuclei.
Mr. D'Agostino questioned the economics of delivering food from a centralized warehouse.
Decide between a centralized or point-of-use installation.
In the state of Pernambuco, a transition is occurring from a centralized to a decentralized program.
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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