How to determine if some key is pressed with CTRL?

Hello, I am writing a little plugin in which I want to trigger the searching (from a SearchTextField object) once  CTRL+V  or ENTER is pressed, and I've already made it work with pressing  ENTER, but not CTRL+V .

（Why not JBTextField: I want the UI of SearchTextField  ¯\_(ツ)_/¯）

My codes :

SearchTextField searchTextField = new SearchTextField();
searchTextField.addKeyboardListener(
                new KeyAdapter() {
                    @Override
                    public void keyPressed(KeyEvent e) {
                         if (e.isControlDown() && e.getKeyCode() == KeyEvent.VK_V) {                                                          
                             // do search -> never reached
                         }else if(e.getKeyCode() == KeyEvent.VK_ENTER){
                             // do search -> can be reached
                         }
                    }
                }
);

I printed out the value of e.isControlDown() and e.getKeyCode(), and when I press CTRL+V  it's something like this:

true, 17   // represents "CTRL" ?

It never show what's been pressed WITH CTRL.

I tried keyReleasedas well, It's been invoked twice, and the output is :

false, 17
false, 86  // represents "V"

It's not abled to know whether CTRL is down when KeyCode is V.

I figured that I can use keyReleased with a field (of KeyAdapter class) to store my last key to do the job? But that doesn't sound right, for I think there's a natural way to do it.