I read in my grammar:
"Must be between commas:
...
* Appositions : "My aunt [I have only one], living in Moscow, brought for me a present"
Subject: 'My aunt'
Being 'living in Moscow' an explanatory adjectival sentence.

* Participle constructions (participle and the words that accompany it): "My aunt [I have several] living in Moscow brought me a present"
Subject: 'My aunt living in Moscow'
Being 'living in Moscow' an specifying adjectival sentence.
...."
The italics are my commentaries.

Since the book makes no exception, both sentences would be translated as: Т