Puede usar el Motor de almacenamiento MERGE para crear una mesa virtual que es la unión de dos mesas reales:
CREATE TABLE Invoice_LineItem_All
(
`LineItem_ID` INT(11) UNSIGNED NOT NULL AUTO_INCREMENT,
`LineItem_ChargeType` VARCHAR(64) NOT NULL DEFAULT '',
`LineItem_InvoiceID` INT(11) UNSIGNED DEFAULT NULL,
`LineItem_Amount` DECIMAL(11,4) DEFAULT NULL,
`LastUpdatedAt` TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP ON UPDATE CURRENT_TIMESTAMP,
KEY (`LineItem_ID`),
KEY `LastUpdatedAt` (`LastUpdatedAt`),
KEY `LineItem_InvoiceID` (`LineItem_InvoiceID`)
) ENGINE=MERGE UNION=(Invoice_LineItem_Archived, Invoice_LineItem);