Like reporting verbs, ‘seem’ and ‘appear’ distance us from the information.
It + seems/appear + that + clause
This is the most common construction, simply stating the perceived situation.
Example
- It seems that the new series will begin shooting in about two months.
 - It appears that the situation is finally under control.
 
A more formal way
It would seem/appear thatadds a layer of formality, often used in written communication.
- It would seem that the new series will begin shooting in about two months.
 - It would appear that the situation is finally under control.
 
Subject + seem/appear + to + infinitive
This structure explores perceived actions or states, using the infinitive tense (simple, continuous, perfect, perfect continuous) to show the timeframe.
Example
- The new secretary seems to be very concerned about climate.
 
- (simple infinitive)
 - They seem to be having some difficulties.
 
- (continuous infinitive)
 - Their leaders appear to have suffered some setbacks.
 
- (perfect infinitive)
 - The company appears to have been doing very well over the last year.
 
- (perfect continuous infinitive)
 
There + seem(s) + to be (to have been)
This impersonal construction focuses on the perceived existence or occurrence of something.
Example
- There seem to be two options for kids.
 - There seems to have been a great response in social media.
 
References