How to remove some specfic navigation links only from selected page/pages?

You can register multiple menus, and display one of them depending on the context.

register_nav_menus( array(
    'primary' => 'Regular',
    'blog' => 'Blog',
) );

Then in your theme, you select the menu you want:

wp_nav_menu( array(
    'theme_location' => (is_page() ? 'primary' : 'blog'),
     'menu_id' => 'nav'
) );