For each collection you'll want to add "AND rels.isMemberOf:collection\:pid" to the rest of the query (where collection:pid is the PID of your collection).
The easiest way to do what you have in mind would be to write a custom form and submission function.
You could use the default as a model, but add checkboxes to confirm which collections are to be included.
You could see exactly what your query should be by adding an additional three search field repetitions and allowing rels.isMemberOf as one of the searchable fields.
Put your sample query in the first of the boxes, and set the last three boxes to choose rels.isMemberOf from the dropdown, then put the collection pids in the textfields. The displayed query is what you'll be recreating programatically from your custom form. This is for testing only, of course, you'd set search field repetitions back to something more manageable once you had confirmed your results.
This cannot be done through the interface alone, but a small amount of coding will give you the results you need, Let me know if you need any assistance with this.
- Alan
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