I'm not certain I understand:
One law firm or lawyer has several IOLTA accounts and there have been multiple deposits to them on the same day...
or
Different lawyers or law firms have different IOLTA accounts and you are considering aggregating them, perhaps because they all have the same TIN; e.g. the number of the state bar foundation?
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.