More than one search results page template for two searches on site

Yes you can. From the WordPress Codex:

function my_page_template_redirect() {
    if( is_page( 'goodies' ) && ! is_user_logged_in() ) {
        wp_redirect( home_url( '/signup/' ) );
        die;
    }
}
add_action( 'template_redirect', 'my_page_template_redirect' );

Looking at your code, I think you can figure out how to adjust this to your situation.

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