Solicitors in SalesPartner are assigned a hidden status type: SOL. To export solicitors, you'll want to make SOL available as a Contact Status filter option via: SalesPartner > More > Settings > Contact Status.
For more on Contact Status types, read https://www.salespartner.co.nz/contact-status-explained.html
On an office license, you can then filter Contact Status by 'SOL', select All (Ctrl+A), and click Tools > Export Contacts.
You can then select your desired fields or use Load Fields to load this pre-configured template
Click OK to export the solicitors as a CSV file.