Join In A View - Simple Question

I've got a simple ( I think) question on views. I've got a view that has a table join in it.
With this view, we want to be able to perform updates, inserts, and deletes. At this time
we can do the updates and inserts, but not deletes. I've checked the permissions and
the users have SELECT, INSERT, UPDATE, and DELETE. Am I missing something or are
deletes just not possible in a view with a join?

CREATE VIEW update_bd_view
AS select
D.BD_ID, D.BD_DESC, T.BT_TYPE_TID, T.BT_TYPE_FID, T.BT_JOB_FID
FROM BILLING_DESC D JOIN BILLING_TIME T ON D.BD_ID=T.BT_ID
GO

thank you for your time!
Toni Eibner