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The phrase "which will then" is correct and can be used in written English.
You can use it to introduce a clause, usually one that explains a consequence of a previous action. For example: "I will finish the report by Friday, which will then allow me to start working on the presentation."
Exact(59)
Which will then solve our immigration problem.
"They're to elect a parliament, which will then decide the government.
The player now has permission to complete the usual formalities, which will then conclude the transfer.
Universities will award credit against the grade achieved which will then count towards a degree.
A further 260 litres is needed to paint the murals, which will then be varnished.
Higher capital spending will lead to a rise in productivity, which will then boost wages.
Yet the credits will nonetheless be sold to a polluting industry which will then pollute more — probably in Europe.
But any sale of the apartment must be approved by the board, which will then impose the new policy.
We are in the process of opening another store, which will then help another community.
The facility will turn domestic waste into gas which will then be burnt to create energy.
Similar(1)
The trees will be chipped and made into mulch--which will then be available for pick up beginning January 7.
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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