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Not Legal Advice.

Once your request is verified by Lexis-Nexus, they should have kicked off multiple work streams (disclosure, limited purpose, deletion) which may resolve in different orders, but must resolve in 'x' days, where 'x' is related to the duration defined by law, plus any extra extensions they may have notified you of, this may mean that the entire request could reasonably take upwards of 90 days, depending on the specific scenario. Note that some data may qualify as exempt from deletion requests, when they are required by other laws (such as gun sale records) the specifics are very context dependent.

If, after that time you believe that Lexus-Nexus did not comply with the request, then they may be in violation. Currently, for California residents, that means you can file a formal complaint with the CA Attorney General (https://oag.ca.gov/contact/consumer-complaint-against-busine...).

Note that this process will change on January 1st 2023 when the amendments of the CPRA will go into effect and enforcement authority shifts to the California Privacy Protection Agency (https://cppa.ca.gov/). This will also subject Lexis-Nexus to additional requirements and more strict definitions of terms such as 'sale'.