Can one use
a. She agreed with me about going there.
instead of
a1. She agreed with me about her going there.
or
a2. She agreed with me about my going there.
?
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Can one use
b. She shared my thoughts about being in an office.
instead of
b1. She shared my thoughts about her being in an office.
or
b2. She agreed with me about my being in an office.
?
I always use the possessive adjective. But I am not sure if there are situations where it is clear that (a) and (b) simply cannot have multiple meanings and, as a result, can safely be used instead of the other sentences (e.g. if context made things clear). In other words, I wonder if in certain contexts the possessive adjectives might not be redundant.