1) How is it possible?
- Well the obvious answer is that some transaction entry that was posted in Payables did not make it over to Ledger. The harder question is why. Use the GL Detail listing or the Financial Reporter drill-down to list the details of the Open Payables GL account to see if you can identify the check or other transaction(s) that is missing (or otherwise making the balance not match). Also check the AP posting journal report as it lists the GL transaction information. Does the data integrity pass for both AP and GL?

2) Expense not in income statement.
- A similar determination; use the GL detail listing report or drill-down for that expense account to see if the detail is actually there. Additionally, view the Vendor Transaction screen and the Applied details of that AP check (cash invoice?). If that batch was posted using Adagio Payables (as opposed to Accpac Plus AP), then the GL account activity will be listed with the transaction. Is the expense account referenced here?