Thanks for clarifying your concern, @Mifal May.

I'm here to ensure you can run the Open invoices report without fully paid invoices shows in QuickBooks Desktop.

Let's make sure that the paid status in the customize page is set to Open. So, no fully paid transaction will appear on the said report. 

Let me guide you how: 

1. In the Open invoices report, click the Customize button on the left side. Choose the Filter tab, then type Paid Status in the search box and pick Open. 
2. In the Account drop-down, choose All accounts receivable or Multiple accounts. 
3. Click OK. 

If the issue persists, I'd suggest updating your QBDT account to the latest version to fix the issue. For more details, check out this article: Update QuickBooks Desktop to the latest release.

Once done, re-access the report to verify if it's already functioning well. If there's no progress, let's run the verify and rebuild data in your account. 

Here's how: 

1. Go to the File menu, then choose Utilities. 
2. Click Verify data. 
3. Review any other problem. 

If there is another problem, go back to the File menu, choose Utilities, and tap Rebuild Data. For more details, check out this article: Verify and Rebuild Data in QuickBooks Desktop.

Please browse this article about the How to Do I questions in QBDT for your future reference: Help Articles. 

Let me know how the steps go. I want to make sure this is taken care of.