How do I delete faxes stored in the printer's memory?
Press the Setup button, then navigate to Service > Fax Service > Clear Saved Faxs, and press OK to confirm the deletion. Be aware that this procedure also clears any fax currently being sent, unsent faxes pending redial, faxes scheduled for future sending, and faxes not yet printed or forwarded.
From the official HP Laserjet M1530 Multifunction Printer manual, page 17
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