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how many TXs are in the mempool
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There is no such thing as "
THE mempool"
Every node has it's own mempool. Transactions that one node has in it's mempool, might not be in another node's mempool. There is nothing in the protocol that requires any nodes to keep any particular number of transactions in their mempool or to keep the transactions there for any particular amount of time. If you are checking two different sources, your are going to get the results based on how each mempool is configured.
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since all transactions are registered
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Registered where? Please don't make up nonsense and post it when you don't know what you're talking about, you'll confuse the newbies that don't realize that you're just trying to increase your post count for your advertiser.