When the form gets submitted I get redirected?

It could be, that you get redirected, turned to a new page or the page reloads after you clicked on the submit button in the form. This has several reasons:

1. In your WP Config it is defined “WPCF7_LOAD_JS” is defined with FALSE. See here how to disable Contact form 7 AJAX.
2. Or you use a 3rd Party plugin like CF7 Redirect

To solve this, remove the config line from your wp-config.php file if it exists. If not exists check if you have a plugin for redirect installed and deactivate this.

If it is still not solved, disable all other plugins and try again. You may also disable your theme for testing.