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"a multitude of variables" is a grammatically correct and commonly used phrase in written English.
It is typically used to refer to a large number or wide range of factors or elements that can affect or influence a situation or outcome. Example: "In order to accurately predict the stock market, analysts must take into account a multitude of variables such as economic indicators, political events, and consumer confidence levels."
Exact(28)
It is a tough decision, one that has to be made within seconds and depends on a multitude of variables.
The air cargo industry is a mix of brokers and companies large and small, and rates depend on a multitude of variables, so gauging normal prices is elusive.
The story of a fortress's rise and fall isn't scripted beforehand — in most games narratives progress along an essentially set path — but, rather, generated on the fly by a multitude of variables.
A typical electronic analog computer consists of numerous types of amplifiers, which can be connected so as to build up a mathematical expression, sometimes of great complexity and with a multitude of variables.
Riparian boundaries are complex to delineate and characterize, with a multitude of variables available for delineation.
Therefore an effective blast design and optimization require a multitude of variables be integrated into a single instance.
Similar(32)
It affects a multitude of fluvial variables such as flow velocity and sediment transport.
Typically, large-scale assessments comprise a multitude of background variables, which are reduced to several uncorrelated principal components prior to the estimation of the population model.
Thus, a scoring system is needed with the ability to predict poor outcomes following surgery and to provide an objective measure of effective treatment where a multitude of different variables exist.
A methodology based on design of experiments (DoE), high-throughput experimentation (HTE) and knowledge extraction was developed to study the influence of a multitude of preparation variables other than composition on the performance of supported catalysts.
Gastrointestinal physiology is dynamic and complex at the best of times, and a multitude of known variables can affect the overall bioavailability of drugs delivered via the oral route.
More suggestions(17)
a multitude of factors
a multitude of interpretations
a multitude of variations
a multitude of measures
a diversity of variables
a plethora of variables
a multitude of years
a range of variables
a myriad of variables
a multitude of varying
a multitude of opportunities
a multitude of safeguards
a series of variables
a multitude of weapons
a bunch of variables
a multitude of problems
a list of variables
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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