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The phrase "which is conditional on" is correct and usable in written English.
It can be used to indicate that something depends on a specific condition being met. Example: "The approval of the project is contingent upon the funding being secured, which is conditional on the board's decision."
Exact(15)
Brazil's social democratic government has successfully reduced poverty with the so-called "Bolsa Família" payment or "family allowance" – effectively child benefit which is conditional on educational attendance.
The £5m award, which is conditional on Holyrood passing Swinney's draft budget for next year, includes nearly £3.6m in capital funding and £1.28m in revenue funding to meet early design and running costs.
But Fujio, an heiress who lives nearby, is in competition with her half brother for her inheritance, which is conditional on marriage, and she sets her sights on Ono.
He is spitting at the news that Stephen Hester, Sir Fred Goodwin's replacement at RBS, is to get a £10m package, £6.4m of which is conditional on the share price rising.
Belarus seeks a Russian-led $1.2bn bailout, which is conditional on reforms.
The sale, which is conditional on Civil Aviation Authority approval, is expected to be completed within two weeks.
Similar(44)
Pope Julius II brokered his release, which was conditional on the young Federigo being sent to Rome as a hostage to ensure that Francesco would not wreak vengeance on Venice.
Silverstone went out on a limb to keep the British Grand Prix alive and into big debt to commit to the present 17-year deal to host the race, which was conditional on the building of the new pit and paddock complex that is the Silverstone Wing.
Payments for environmental services (PES) aim to improve the supply of environmental services by making payments to service providers, which are conditional on the provision of those services.
Moreover, inputs to the model such as the probability of disease progression which are conditional on patient characteristics must be re-estimated with each project.
In our empirical framework, we assumed that the instantaneous utility function of the individual depended on a lifestyle vector and latent health stock, which was conditional on exogenous variables, and a vector of unobservable factors that influence personal preferences.
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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