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The phrase "the indispensability of" is correct and can be used in written English.
It is used to convey the idea that something is necessary or essential. Here is an example of how it can be used in a sentence: The teachers emphasized the indispensability of attending class regularly in order to succeed in the course.
Dictionary
the indispensability of
noun
The characteristic of being indispensable.
synonyms
Exact(60)
A naïve expectation for such indispensable genes in a given species would be the indispensability of their equivalents in other species.
Racine and Corneille both contradicted Dante and Chaucer on the indispensability of a catastrophic final scene.
Since the founding of Pakistan, in 1947, one of the country's central myths has been the indispensability of the Army.
Our contemporary artists can learn a lot from a visit to this provocative new museum, starting with the indispensability of joy.
This is the man that Hillary Clinton values for his "belief in the indispensability of continued American leadership in service of a just and liberal order"?
The reality in question, back then, was communism-as-evil, the centrality of military force, the indispensability of the American idea and much else.
(The poem is a potent demonstration of the indispensability of off-rhyme. Most of its movement would be lost if those first two lines rhymed neatly).
Mr Osborne's announcement was immediately welcomed by US ambassador Matthew Barzun, who said on twitter that it was "proving again the indispensability of the UK to global security".
Many of these possible replacements hold the same views and passions as the sitting senator, which speaks to the indispensability of any one member.
The indispensability of these frankly didactic guidebooks is illustrated in E. M. Forster's novel "A Room With a View" (1908), in which Baedeker's guide to Northern Italy provides a recurring leitmotif.
Indeed, Shawcross takes the truly counterintuitive position that the Munich-like failure to make common cause on Iraq proves the indispensability of the United Nations, since "this very public and rancorous debate was actually taking place there".
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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