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The sentence "coordination has been established" is correct and usable in written English.
You can use it to refer to the process by which two or more different groups of people agree to work together towards a common goal. For example, "The management team and the sales department have successfully established coordination which will help them to achieve their respective targets."
Exact(1)
Good coordination has been established between education and health programmes (immunisation, health counselling, reproductive health, health mediators), and programmes for parental counselling on child-rearing practices.
Similar(59)
Within the framework established by the National ECCD Policy, roles and responsibilities of a range of ministries, departments, and agencies have been established at the national, regional, and local levels, and structures for cross-sectoral communication and coordination have been established.
The relationship between the reactivity of 1, 2 and 3 complexes and their coordination number has been established by analyzing the values of the vibrational frequencies, frontier molecular orbitals and the values of electron affinities.
An IYM coordination unit has been established in the Forestry Department at FAO headquarters.
To this respect a general relation between the chemical reactivity, the d-band center and thus the coordination number of surface atoms, has been established [8 10]: the lower the coordination number of TM surface atoms, the smaller the local bandwidth and the higher the d-band centre position relative to the Fermi level for metals like Rh with a more than half-filled d band.
Empirically, in large-scale stereometric analyses, this number has been established during normal coordination in a flock (in the absence of a predator) as being the number of influential neighbours (Ballerini et al. 2008a).
No connection to Kassar has been established.
An extensive Altai reserve has been established.
"The groundwork has been established," he says.
Now a target has been established.
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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