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'worldwide existence' is correct and usable in written English.
You can use it when referring to something that is present in many places around the world. For example, "The internet has brought about a worldwide existence of access to information."
Exact(1)
Although it has been discussed whether ADHD is a phenomenon of the Western culture, e.g., [ 9], its worldwide existence is well documented [ 10- 13].
Similar(59)
Figure 2 displays existing volcanoes worldwide, showing the existence of several of these in the Colombian territory (Corpoema 2010; IDEAM 2014).
Well, besides the obvious hax0ring, Usenet is one of the largest worldwide forums in existence.
There are estimated to be over 175,000 Morgan horses in existence worldwide as of 2005.
At present, all of the Père David's deer in existence worldwide are descended from 11 of 18 individuals that were kept at Woburn Abbey in England during 1894∼1904 [22].
Cervical cancer is still the second most common cancer in women worldwide, despite the existence of effective screening methods (Waggoner, 2003).
Uterine cervical cancer is still the second most common cancer in women worldwide, despite the existence of effective screening methods [ 1].
However, the high frequency of the deletion worldwide suggests the existence of some redundancy in the function of LCE genes in this cluster.
[GdnHCl]1/2 values are expressed as the average of data from 3 or more independent animals infected with each TSE type ± the standard error of the mean, with the exception of the E211K BSE case, for which only one animal sample is in existence worldwide.
Transformation in the materials world has been the bane of technological advancement worldwide as such human existence from generation to generation has been characterized by different materials under their use.
Extensive research both in Britain and worldwide has shown the existence of a "weekend effect", in which patients admitted to hospital at the weekend are up to 10% more likely to die than those admitted on a weekday.
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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