Search in a list view sounds easiers than it is, unfortunately.
A possibility: https://forum.mendix.com/link/questions/111794
A list view can have search using this marketplace module: https://marketplace.mendix.com/link/component/105694 but it is deprecated.
The successor of list view is a data widget: https://docs.mendix.com/appstore/modules/gallery/
Personally, i avoid using list views when searching is involved and using a microflow as datasource is also best avoided.
I hope this helps.