This is my bibliography on the subject. Indeed Bourceux was quite relevant in this topic.

>- *Borceux and Kelly*, **On locales of localizations**, J. Pure Appl. Algebra, Volume 46, Issue 1, 1987, Pages 1-34.
>- *Borceux and Veit*, **On the Left Exactness of Orthogonal Reflections**
J. Pure Appl. Algebra, 49 (1987), pp. 33-42.
>- *Borceux*, **Subobject Classifier for Algebraic Structures**. Subobject classifier for algebraic structures
J. Algebra, 112 (1988), pp. 306-314.
>- *Veit*, **Sheaves, localizations, and unstable extensions: Some counterexamples**. J. Pure Appl. Algebra, Volume 140, Issue 2, July 1991, Pages 370-391.
>- *Borceux and Quinteiro*. **A theory of enriched sheaves**. Cahiers de Topologie et Géométrie Différentielle Catégoriques 37.2 (1996): 145-162. 
>- *Garner and Lack*, **Lex Colimits**. J. Pure Appl. Algebra. Volume 216, Issue 6, June 2012, Pages 1372-1396.