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The phrase "admittedly complex" is correct and usable in written English.
It can be used when acknowledging that something is complicated or difficult to understand.
Example: "The theory behind quantum mechanics is admittedly complex, making it challenging for many to grasp."
Alternatives: "undeniably intricate" or "acknowledged as complicated".
Exact(19)
Such a link is, admittedly, complex.
Before I left, I said that these were admittedly complex issues.
The payments to Executive Learning, while "admittedly complex," were for "legitimate services rendered," Dow Jones said.
Nelson Tebbe argues that these disputes, which are admittedly complex, nevertheless can be resolved without irrationality or arbitrariness.
But it was quite quickly undermined by some search engine experts, who called into question Orlowski's understanding of Google's admittedly complex technology, which works out which pages should be ranked highest in search results.
Instead, the person would need to be motivated to adopt these admittedly complex and demanding materials.
Similar(41)
Once installed and connected to your Wi-Fi network – it took three attempts to connect it properly to my (admittedly quite complex) multi-network set up – the app can control the robot from anywhere, not just in the home.
The rules dictating how interactions play out between economic agents are admittedly more complex than the forces between atoms, but in conventional economics the rules have always been grossly simplified to make the models workable.
We hope this additional explanation helps clarify what is admittedly a complex experiment as we are not aware of a simpler way to perform this analysis.
(Admittedly, the energy complex has its own issues, with the price of oil remaining at low levels).
To Mr Pfeiffer, this is one (of admittedly several and complex) factors, that explain why Americans own more guns, commit more crime and punish more severely than western Europeans.
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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