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The phrase "a network of approximately" is correct and usable in written English.
It can be used when describing a network that has an estimated number or size, often in contexts like technology, social connections, or data.
Example: "The study revealed a network of approximately 500 users who actively participate in the online forum."
Alternatives: "a network of about" or "a network of roughly".
Exact(10)
As of December 31 , 2009 the Company operated a network of approximately 29,000 independent insurance brokers.
Together with its AIM and ICQ personal communications network, the acquisition will give AOL a premier position in the fast growing world of social media with a network of approximately 80 million unique users.
AOL said that with its AIM and ICQ personal communications network, the acquisition would give it a "premier position" in the fast-growing world of social media, "with a network of approximately 80 million unique users".
Nazeer Jafri is a cousin of Pir Syed Jafri (sect head of the Chilea community) from North Gujarat, who runs a network of approximately 100 restaurants in and around Ahmedabad along with restaurants in the highway of Ahmedabad to Mumbai.
These 2-D film structures consisting of a network of approximately 30-nm-sized Ag NWs as shown in Figure 5 are expected to be sufficiently transparent, owing to the low intensity of scattered light.
MMNA sells coupes, convertibles, sedans, sport utility vehicles and light trucks through a network of approximately 420 dealers.
Similar(50)
The present Tokyo database includes results of three-dimensional computational fluid dynamics (CFD) analysis in which all the existing buildings in the special 23 wards of Tokyo are reproduced in three-dimensional geometries in a grid network of approximately 500,000,000 meshes with a spatial resolution of 8 m in the horizontal directions.
The composite conductivity σ follows a percolation scaling law of the form σ∝(p−pc t with the critical mean concentration pc to form a conductive network of approximately 0.0025 wt% and an exponent, t, of 1.2.
TI consists of a global network of approximately 100 national chapters devoted to fighting corruption in their home countries.
A monitoring network of approximately 40 groundwater sampling points was installed in July 2005.
As of June 2017, the MGEX offers a global network of approximately 80 stations of GNSS receivers capable to receive BDS signals.
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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