Move a row in a Google Sheet from one sheet to another: Props https://productforums.google.com/forum/#!topic/docs/ehoCZjFPBao

code.gs

function onEdit() {
  // moves a row from a sheet to another when a magic value is entered in a column
  // adjust the following variables to fit your needs
  // see https://productforums.google.com/d/topic/docs/ehoCZjFPBao/discussion

  var sheetNameToWatch = "COMMUNICATIONS";

  var columnNumberToWatch = 5; // column A = 1, B = 2, etc.
  var valueToWatch = "DONE";
  var sheetNameToMoveTheRowTo = "ARCHIVE";
 
  var ss = SpreadsheetApp.getActiveSpreadsheet();
  var sheet = SpreadsheetApp.getActiveSheet();
  var range = sheet.getActiveCell();

 
  if (sheet.getName() == sheetNameToWatch && range.getColumn() == columnNumberToWatch && range.getValue() == valueToWatch) {

    var targetSheet = ss.getSheetByName(sheetNameToMoveTheRowTo);
    var targetRange = targetSheet.getRange(targetSheet.getLastRow() + 1, 1);
    sheet.getRange(range.getRow(), 1, 1, sheet.getLastColumn()).moveTo(targetRange);
    sheet.deleteRow(range.getRow());
  }
}