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Discover Ludwig"having established" is a correct and usable phrase in written English.
It can be used when you are establishing a point that has already been made, and you are building from that point. For example, "Having established the correlation between the two variables, we can explore what might be causing the relationship."
Exact(59)
Having established the crime, the film delves into Carter's youth.
Having established its authority, it then names local police chiefs.
Having established himself, Mr. Bay may now qualify as a member of the old-boy network.
Having established a market mostly in central business districts, Zipcar is branching out.
Having established the lead partners' working practices, the Gulf team is now bringing in other partners.
Having established their dominance over the reaction video format, Fine Bros expanded further.
Having established that bread is an absolute must, I must decide when to add it.
Having established that yes, it can, they decide to go to an all-night pharmacy.
Having established these, the next step is working out how to achieve them.
Having established Public Enemy as ruthlessly puritanical, it's hardly on-message to cultivate a crack habit.
Having established that there was surely only one man, everyone's favourite second keeper: Steve Harper.
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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