Both of these are what's called 'volitional future,' and they contain the subject's intention.
Literal
These [topic-は] both 'volitional-future' [quotative-と] called thing [copula-で], subject [possessive-の] intention [subject-が] included-[passive-されています].
意志未来 'volitional future' — a grammar term for future expressions that carry the speaker's will or intention. 主語の意図 'the subject's intention.' More English grammar metalanguage. The passive 含まれています keeps the tone impersonal and textbook-like.