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The phrase "have since given" is correct and usable in written English.
It can be used to indicate that something was given at a time after a previously mentioned event or point in time.
Example: "They have since given their approval for the project to move forward."
Alternatives: "have subsequently provided" or "have afterward granted".
Exact(31)
The Peel sessions have since given several thousand bands free recording time and guaranteed airplay.
But analysts have since given progressively greater weight to other considerations.
The local government says four out of five prostitutes on the seafront have since given up.
Austrian banks have since given reassurances that their Romanian operations are solid and will not be affected.
These ambitions have since given way to less optimistic analyses of the market for their products as carriers show greater wariness of such plans.
The United States Department of Agriculture counted 21 farms in the county in 1997, but Mr. Matarazzo says all but 2 have since given way to development.
Similar(26)
By the early aughts, Malin went solo and has since given us over half a dozen releases to enjoy.
Composer Jeanine Tesori has since given us Caroline, or Change and the aforementioned Fun Home, along with other less-artistic, commercially-oriented pieces like Shrek.
Contrition has since given way to bravado.
(She has since given birth to two children).
Ms. Essman has since given it to her handyman.
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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