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The phrase "a complex and high" is not complete and lacks context, making it difficult to determine its correctness in written English.
It could be used in contexts where you are describing something that is both complex and of high quality or high level, but it needs additional information to clarify its meaning.
Example: "The project requires a complex and high level of expertise to ensure its success."
Alternatives: "a sophisticated and elevated" or "a complicated and advanced".
Exact(1)
One explanation for this is that they lack the maturity, tactical sophistication, and mental strength to compete consistently in such a complex and high quality league.
Similar(59)
Field survey in land consolidation is a complex and high-tech process.
Justine Greening therefore finds herself plunged from the obscurity of being No 3 in the Treasury into a complex and high-profile political maelstrom.
The sale sets the stage for a complex and high-stakes legal struggle in the Netherlands between Mr. Lynch and former Yukos shareholders, who argue that the Russian bankruptcy process is illegitimate.
So the successful applicant will be "a proven leader with experience in a complex and high-profile environment" who can "demonstrate independence, sound judgement and resilience, as well as the ability to work and communicate effectively in a public and high profile environment".
With that one transaction Baazov is now the new king of online gambling, a near-billionaire player in a complex and high-stakes game, facing off against titans like Sheldon Adelson.
Team members articulated their perceptions of the mechanisms by which team collaboration was achieved or undermined in a complex and high-pressure context.
Medication management is a complex and high-risk activity forming a major part of registered nurses' responsibilities in their everyday practice [ 1, 2].
The biosynthesis of a complex N-linked glycan is a complex and high-ordered process, which is initiated in the endoplasmic reticulum (ER) and completed in the Golgi apparatus.
The following shows the details of the procedure: The Bayesian approach is attractive for its ability to incorporate prior knowledge into statistical inference; and the logistic regression can provide a simple but accurate model for the predictions with calibrated probabilities without extrapolating input datasets to a complex and higher dimension.
For a complex and relatively high viscous NAPL (>50 g/(cm s)), smaller intra-NAPL diffusion coefficients (<10−8) are expected and even low mass transfer rate coefficients (~6 cm/day) can result in diffusion-limited dissolution.
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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