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We will convert the deposit as an available credits. Then, we can link the invoices to the lump deposit.
First, let's make sure that we use the Accounts receivable (A/R) in the split. Edit the transaction from your register then add A/R on each line, as well, as the customer's name.
Then, this will create a credit balance to your customers. Now, we can apply these credits to the open invoices.
Let us know if you need anything else.