Multi-faceted navigation is tricky as it duplicates ( as it's intended). Reviewing the traffic and using the parameter handling tools within search console is a great way to see how Google is 'seeing' these URLs. I wouldn't recommend blocking them in the robots.txt if you do, these will still be indexed because they are linked to other URL's and Google will stumble upon them.
Best posts made by Terakeet
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RE: How can I stop my facets being crawled?
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RE: Sitemaps for landing pages
Yes, any URL that has over 50,000 URL's should have a sitemap_index, within that xml sitemap index should have listed the other category specific URL sitemaps. These are best organized in the hierarchy of the website structure to reinforce your schematic URL structure.