As "jack" suggested in his post, you can look for those items using the Exchange shell command
Search-Mailbox, and then delete them.
You specify a TargetMailbox and TargetFolder, where the items found in each search will be copied. You can also go "-LogLevel full -LogOnly", and only get a CSV file of the results copied there.
You specify your search query with the SearchQuery paramter, and getting this right can be a bit tricky, because the search properties (like subject, from, date) must be given in your locale/language.
So on an english system the SearchQuery for calendar items could look like this:
'Kind:meetings AND From:*name* AND Subject:Pizza'
The 'AND' or 'OR' is not locale specific, and you can also use parentheses.
I have never found translations for these keywords from Microsoft, maybe someone else knows where to find them.
Once you have verified the SearchQuery is matching what you want, you can add -DeleteContent to delete those items. The full command could look like this:
Search-Mailbox *name* -SearchQuery 'Kind:meetings AND From:*name2* AND Subject:Pizza' -TargetMailbox admin -TargetFolder ExchangeSearches -LogLevel full