There is no ablity to filter included objects in ObjectQuery<TSource>.Include method.
Allow filter predicate in Include method in Entity Framework.
I suppose this method of ObjectQuery<TSource> may have following signature:
/// Includes related objects which meet to predicate
/// <typeparam name="TRelation">Type of related object on another end of navigation property</typeparam>
/// <param name="relationSelector">Expression that returns set of related objects</param>
/// <param name="predicate">Predicate that has to be met</param>
public System.Data.Objects.ObjectQuery<TSource> Include<TRelation>(Expression<Func<TSource, IEnumerable<TRelation>>> relationSelector, Expression<Func<TRelation, bool>> predicate);865 votes
Issue tracking this feature: https://github.com/aspnet/EntityFramework/issues/1833.