You need to refer to the Sale Date. That way, you can determine if you have partner payments or installment payments for the sale.

Payments after the sale date, from the LLC, are not to a partner. They are on behalf of the partners that exist in the new relationship, and that means they would be considered as personal taking, used to make a payment that is outside of the LLC. The LLC didn't sell itself, in other words.

The new partners can use the resources from their LLC for any personal thing they want to, including to pay for their ownership in the LLC because they didn't already pay for it personally, but are making payments. Or, to buy a boat. Or, for a vacation.

Perhaps the sale documents includes an accrued AR, and those payments are representing that carry over, such as:

I sell you a business with AR yet to be collected, and you will pay me over two years as that AR comes is, up to an amount we agree on (giving you consideration for value over time, noncollectables, and a discounted rate for your time and efforts to collect).

Perhaps the sale document includes Customer Prepayments, and until that work is done and the funds are released, the LLC is sitting on client money. This is like selling a property management firm with tenant prepayments in trust. When you sell that type of business, you have to evaluate whose money is on hand and why, as to an Asset or a Liability, against work to be performed or funds to be refunded. This also will vary by State. In my State, architects do not have to maintain prepayments in trust, but you sure would not want to sell the practice and not also deal with customer prepayments in that sale agreement. You might have some really mad customers, when you tell them, Sorry, your money went with the previous owner, so we need to be paid in full and don't have your retainer to apply.