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The phrase "a complex and rich" is correct and usable in written English.
It can be used to describe something that has multiple layers or dimensions, often in terms of content, flavor, or experience.
Example: "The novel offers a complex and rich narrative that captivates readers from the first page."
Alternatives: "a multifaceted and deep" or "an intricate and abundant".
Exact(9)
Senior Convocation has a complex and rich history.
This is a complex and rich theme, especially with respect to the impact of new technologies.
Samuels traces a complex and rich four-way metaphor in her portrait of Bishop's methods: surface of verse, surface of painting, skin, and interface between mind and world.
Flowers and foliage are part of an elaborate flower-symbolism, and there are many abstract motifs, all of which are part of a complex and rich symbolism, which can usually be interpreted if the key is known.
This short circuiting effect leads to a complex and rich variety of behaviour with respect to pore size, temperature and diffusing gas, which is consistent with experimental evidence, but is absent when the Knudsen model is used with adsorption effects neglected.
#5 -- You have a complex and rich inner life.
Similar(51)
At the end, you're rewarded with a complex and rich-tasting dinner.
Indeed, organotypic cells primarily exist embedded within a complex and information-rich environment that contains multiple extracellular matrix (ECM) components.
Farm soil is a complex and nutrient-rich environment active in decomposition of plant biomass and a wide range of organic materials [ 14].
It is a deceptively complex and rich painting, with an amazing tension between the subject and the language used to depict it – the slaughtered family heaped dead under a kitchen table, their bodies intertwined.
"You have to create with the rest of the people a more complex and rich way of living and seeing life and thinking and feeling.
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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