In Salesforce Classic experience, we can manually search for duplicate records and pick and choose which ones we want to merge. In Lightning, however, this is not possible, and only records identified in the "Potential Duplicates" page component can be merged manually.
The documentation is unclear in my mind on how the combination of matching rules and duplicate rules drive what records appear as "potential duplicates". What I'd like to do is create some rules that don't warn or prevent a user from creating or updating potential duplicates, but cast a wider net in terms of identifying potential duplicates so that a user can review manually. Is this best addressed through matching rules, duplicate rules, or a combination of both?