In 2017, the Education Act (1989) was updated and the Private Schools Conditional Integration Act (1975) was subsumed as Part 33.
Below is an excerpt from the updated Act covering Part 33 which relates to integrated schools.
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Ed Act Part 33 State integrated schools
The following is a Ministry of Education fact sheet related to the 2017 Education Act update.
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Ed-Act-Update-FS-17-State-integrated-schools