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This will require some code customization, I’m afraid. Unfortunately, even if you add a static query filter for the taxonomy through the "Content Selection -> Query Filter" section, it would be overridden by the dynamic query applied by the front-end search field for that same taxonomy.
Therefore, to achieve what you're planning, you'll need to take care of two things:
1. You can hide the unwanted category term options from the front-end filter using custom CSS code, so that the user can't select them (it would be simpler if you use the select/drop-down type filter)
2. To dynamically apply a static query filter for the selected categories, only when a user has not selected it from the front-end. You can remove it from "Content Selection -> Query Filter" section and instead apply it through the "wpv_filter_query" filter: https://toolset.com/documentation/programmer-reference/views-filters/#wpv_filter_query
We can give it a try, but please bear in mind that custom code solutions are beyond the scope of this support forum, and generally what we recommend is that you check our contractors page: https://wpml.org/contractors/.
Could you please show us where in the website we can see those categories in a search box? We tried to search for them, but since the website is in Dutch, we weren’t able to find anything.