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The phrase "a lengthy and complex" is correct and usable in written English.
It can be used to describe something that is both long in duration or extent and intricate in nature, such as a document, process, or explanation.
Example: "The report provided a lengthy and complex analysis of the economic impacts of climate change."
Alternatives: "an extensive and intricate" or "a detailed and complicated".
Exact(13)
The Peruvian Miguel Gutiérrez published a lengthy and complex novel in three volumes, La violencia del tiempo.
Any Dish bid is likely to take months to close, primarily because of a lengthy and complex review by the Federal Communications Commission.
Edward Davey, the business minister with responsibility for corporate governance and company law, said: "These disqualification undertakings represent a successful conclusion to a lengthy and complex investigation into the collapse of MG Rover.
Analysts expect a lengthy and complex review, but Mr. Smisek said he did not anticipate problems since the companies had few overlapping domestic routes and did not compete internationally.
When announcing its decision in April the CCRC said that despite a lengthy and complex investigation, it "has not identified any evidence or legal argument that it considers capable of raising a real possibility that the court of appeal would quash the convictions".
The first stage of this sort of argument is, obviously, a lengthy and complex one.
Similar(47)
Beverley Naidoo Bournemouth, Dorset Selectively quoting from a lengthy and conceptually complex judgment such as that delivered by the House of Lords in Nandla and another v Lee and others is risky and susceptible to giving the wrong impression (Letters, 15 December).
The question will be to what extent the government should be prepared to clear the decks of everything else in order to possibly deal with a lengthy and very complex war of attrition over this particular piece of legislation".
Destroying a tunnel is a lengthy and somewhat complex operation because just blowing in the entrance or some of the airshafts leave most of the tunnel intact, so Hamas sappers will be able to quickly dig by-pass sections and continue to use the tunnel.
In a statement sent to VICE News on Wednesday, Gayten-LGBT criticized Stanojcic's move, which the group is concerned will trivialize "a very demanding, lengthy, and complex" process.
The three actors squeezed out the previous owners in a series of lengthy and complex manoeuvres, but after Rich's letters patent were revoked, Cibber, Doggett and Wilks were able to buy the company outright and return to the Theatre Royal by 1711.
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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