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The phrase "a host of complex" is not complete and lacks clarity in written English.
It can be used when referring to a large number of complex items or issues, but it needs to be followed by a noun to be fully effective.
Example: "The project involves a host of complex challenges that we need to address."
Alternatives: "a multitude of complex" or "a variety of complex".
Exact(39)
As more companies default, ripples will spread through a host of complex derivative products.
But? "But then decreases in crime rate are most likely to be caused by a host of complex socio-economic factors".
Online dating suggests that "on the internet, nobody knows you're a perpetual underachiever with a host of complex personal defects" may be more apt.
On the other are a host of complex tonics and juices aimed at promoting good health and curing specific ailments, many of them sexual.
Moreover, a host of complex human health conditions including dehydration, pregnancy, diet, diabetes, hypertension, obesity, genetics, and climate12,15 also affects kidney stone susceptibility.
The militants try to gain a perch in communities suffering from a host of complex stressors, one of which is a startling birthrate.
Similar(21)
But the sense of direct communication, of a man being as clear as he can about a host of matters, complex and simple, is quite different from that created by the artistic density of Calvino's prose fiction and indeed of many of his essays.
Let's ask about elephants (my own most beloved species), and if we can't go on safaris, let's watch films of elephants simply living their lives, exhibiting communal devotion, compassion, grief and a host of other complex attitudes that we humans tend to believe belong to us alone.
It's beginning to look like Ford bet the goodwill of its customers on an ill-conceived plan to get to market first with a host of new, complex, and poorly conceived technological changes to its cars.
Although an unconventional mechanism (distinct from that used by the CNS) is utilized in ribbon synapses (in hair cells of cochlea) and specialized retinal synapses (between the photoreceptor and bipolar cells) for neurotransmitter release, these synapses still require a host of SNARE complex proteins for sustained release of neurotransmitters [ 50, 51].
The general idea of what the Structuralists were up to is given by the color circle, which shows how the four primary hues, varying in saturation, can be combined to yield a whole host of complex colors.
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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