(of beliefs) so firmly held that they are not likely to change

Such ingrained prejudices cannot be corrected easily. 如此根深蒂固的偏见是不容易纠正的。

The belief that you should own your house is deeply ingrained in our society. 在我们的社会中，应该拥有自己的住房这一观念根深蒂固。

Ingrained dirt has got under the surface of something and is difficult to remove.

The oil had become ingrained in his skin. 油污已渗入他的皮肤。