Orchestrated will automatically close/reconcile invoices as they are paid. Partial invoices will remain open until/unless they are fully paid or manually closed (uncommon).
If you have any question as to whether an invoice is paid, you can always right-click any area on the Invoice that doesn't have text and choose "Relationship Map" to see whether a payment is attached or not:
The Relationship Map then confirms the payment attached to this Invoice:
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