Social Sharing Links appear after every insert

FYI v2.2 will modify the fix for Jetpack because it introduced problems for other users.

You will need to create a filter in your theme in order to disable the_content filter from being applied to inserted pages.

For example:

// If Jetpack Sharing widget is enabled, disable the_content filter for inserted pages.
function theme_init() {
    if ( has_filter( 'the_content', 'sharing_display' ) ) {
        add_filter( 'insert_pages_apply_the_content_filter', function ( $should_apply ) { return false; } );
    }
}
add_action( 'init', 'theme_init' );