Do we need more managed automation platforms?

Our sales team is complaining that they spend more time updating Salesforce than actually calling prospects. We have several disparate tools for prospecting, LinkedIn outreach, and email, but they don't talk to each other well. I’m looking for a platform that acts as the glue but is also managed by a third party so my Ops team doesn't get bogged down in API maintenance. We need something that can handle complex routing rules and data de-duplication at scale.