I tried to transfer 2 eth from a coinbase account to a Parity user (Not wallet). It does not show up on Parity after 5 hours of waiting. In Coinbase, it says that the transaction is complete, and on etherscan it says that it is complete, too. The only problem is the Parity user.
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The Parity wallet is not fully synchronized. Balances only show correctly the latest state if the wallet is finished with synchronization.