Preserving rich-text and HTML emails during DBX to PST conversion depends on how the Outlook Express DBX file is read. If the process extracts only plain text, old signatures, links, tables, inline images and styled email formatting may not appear correctly in Microsoft Outlook.
Use a copied DBX backup first and keep the original mailbox safe. After creating the PST file, open a few HTML heavy emails, invoices, newsletters and attachment based messages in Outlook. Check rich text formatting, sender details, dates, email attachments and folder hierarchy before using the final PST.
For this need, I would recommend Softaken DBX to PST Converter Software, mainly because it lets you preview DBX emails before saving them into Outlook PST format. That preview helps confirm whether formatted emails are coming through properly.
Run the free demo on 10 emails from each DBX folder and verify the sample PST before full mailbox migration.