Hello there, I’m not from Companies House but as far as I know you’ll have to filter these yourself from the data. The alternatives are essentially maintaining your own index of Companies House (from the bulk data / streaming data) or searching around to find one of the 3rd parties who digest the data and can provide you with different search interfaces.
There was a comment from this (2017 mind…) by Companies House:
The search is not a simple search through a couple of fields, it is a complex search with parsed search terms against a pre-built index of multiple fields and combinations of fields, utilising partial matching, inverted-indexes, frequency algorithms, cadence, weighted scores, fuzzy matching, stemming, synonyms, company name ending synonyms (English and Welsh), soundex etc.
I’m not aware of any changes after that reply (see full details in thread below) about how the search works. They’ve also repeatedly said that even though there are APIs as well as the web site they are more focussed towards something like “general enquiries by members of the public” than the various requirements of researchers, marketeers, firms needing automatic data verification etc. However there clearly have been - some - changes since 2017 - so if anyone else knows more I hope they’ll post.