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The phrase "already been published for" is correct and usable in written English.
It can be used when referring to something that has been made public or released in a specific context or for a particular duration.
Example: "The research findings have already been published for several months in a reputable journal."
Alternatives: "previously published for" or "already released for".
Exact(12)
A similar index has already been published for other countries.
These two books don't fundamentally revise our understanding of the Final Solution — too much has already been published for bold revision to be remotely plausible — but they significantly deepen it.
A large number of MAC protocols have already been published for WSN over the last decade [24 26].
Some of the work that has already been published for halo current is given as under Strauss with his team carried out heavy simulation using M3D code for calculating the halo current and plasma disruption conditions [16].
A MALDI-TOF MS database has already been published for the identification of Eucarya species based on the analysis of cultured cell lines over 34 species ranging from insects to primates [5].
Attempts of coregistration have already been published for other anatomical regions [ 12, 13].
Similar(48)
The first maps came, instead, more than a year later, and they showed rates of various kinds of cancer at a county level -- data the department had already been publishing for several years.
In particular during the ongoing development and assessment of gemcitabine (a fluoride substituted anti-metabolite) many such trials have already been published (see for example Lund et al, 1994), including those that will be the main focus of this paper (Foo et al, 2002), and many more are in progress.
Data from Pailin and Wang Pa have already been published and demonstrated for the first time that parasitological outcomes were significantly different between malaria patients in Pailin and those in Wang Pa, with slower parasite clearance times in western Cambodia [8].
As the mineralogical and petrological investigations have already been published, this work presents for the first time a quantitative characterisation of the spatial distribution of the porosity in the cement and the clay-rock in terms of time scale and design.
We chose to use archive data available on the VEPP website because an interpretation of that eruptive activity has already been published, providing the opportunity for classes to complete the MMM exercise to predict volcanic activity and then to read the real outcome (Poland et al. 2008).
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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