Scope in relationship

Hi all,
is it possible to use scope in model relationships?

example

class Post < ActiveRecord::Base

scope :published, where(:published, true)

end

class User < ActiveRecord::Base

has_many :posts

has_many :published_posts, class_name: ‘Post’ … here I would like
to

use the same conditions of scope published without rewrite them

I know that I can write a method in User class instead of the has_many
relationship, something like

def published_post

return self.posts.published

end

but in this way I can’t use the include: in the to_json method

@user.to_json(include: :published_posts)

and I can’t use method: instead beacuse I have to use also the only:
attribute to filter the attributes in the json output

Thanks to all