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The phrase "a consequent decline of" is correct and usable in written English.
It can be used to describe a decline that follows as a result of a previous event or condition.
Example: "The company experienced a consequent decline of profits after the market crash."
Alternatives: "a resulting decrease in" or "an ensuing drop in".
Exact(2)
Indeed, KRIT1 knock-out cells present enhanced levels of mitochondrial superoxide and a consequent decline of mitochondrial energy metabolism, characterized by a strong reduction in MMP, mitochondrial Ca2+ levels and ATP production.
Indeed, it is well known that when the incidence of a communicable disease is low, its contribution to the clinical forms that can evoke it decreases, with a consequent decline of the PPV for clinical signs to identify the disease [ 22].
Similar(58)
The immune system undergoes an involutional process with a consequent decline in production of immunoglobulins, including IgE.
The introduction of candles with self-consuming wicks in the latter half of the 19th century and the development of alternative methods of lighting brought about a consequent decline in the use of snuffers.
With increasing urbanization also came a shift in the electoral bases of fascist-oriented movements and a consequent decline in the importance of rural romanticism ("blood and soil") in neofascist political rhetoric.
At one site, this was reported to have led to grass growth before birds were ready to nest, and a consequent decline in the breeding success of lapwings (Vanellus vanellus) ; at another site it had led to more rapid spread of invasive holly.
These requirements need to be offset against the temporary drop in accounting returns and credit ratings which might result from a potential oversupply or mismatch of rig capacity with a consequent decline in rates.
But if the ambitious scale of the two schools' response is unusual, the underlying problem, namely the rise of English as a lingua franca throughout the Arab world and the consequent decline of Arabic, has prompted increasing concern.
The stadium itself was intended to be a statement of ambition for a better economic future in Liverpool after the economic devastation and consequent decline of the 1980s.
The displacement of the English upper class, with the consequent decline of the Anglo-Saxon tradition attendant upon the Norman invasion, arrested for a while the movement toward the production of the English Bible.
As recently as last February, the then president of the A.F.L.-C.I.O., Lane Kirkland, upon being asked to articulate new perspectives, quoted his 19th-century predecessor Samuel Gompers ("More learning and less vice") and extolled Franklin D. Roosevelt's rural-electrification successes of the '30s and the consequent decline of the kerosene lamp.
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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