Django Manager Chaining

I was wondering if it was possible (and, if so, how) to chain together multiple managers to produce a query set that is affected by both of the individual managers. I'll explain the specific example that I'm working on:

I have multiple abstract model classes that I use to provide small, specific functionality to other models. Two of these models are a DeleteMixin and a GlobalMixin.

The DeleteMixin is defined as such:

class DeleteMixin(models.Model):
    deleted = models.BooleanField(default=False)
    objects = DeleteManager()

    class Meta:
        abstract = True

    def delete(self):
        self.deleted = True
        self.save()

Basically it provides a pseudo-delete (the deleted flag) instead of actually deleting the object.

The GlobalMixin is defined as such:

class GlobalMixin(models.Model):
    is_global = models.BooleanField(default=True)

    objects = GlobalManager()

    class Meta:
        abstract = True

It allows any object to be defined as either a global object or a private object (such as a public/private blog post).

Both of these have their own managers that affect the queryset that is returned. My DeleteManager filters the queryset to only return results that have the deleted flag set to False, while the GlobalManager filters the queryset to only return results that are marked as global. Here is the declaration for both:

class DeleteManager(models.Manager):
    def get_query_set(self):
        return super(DeleteManager, self).get_query_set().filter(deleted=False)

class GlobalManager(models.Manager):
    def globals(self):
        return self.get_query_set().filter(is_global=1)

The desired functionality would be to have a model extend both of these abstract models and grant the ability to only return the results that are both non-deleted and global. I ran a test case on a model with 4 instances: one was