When a solvent is shaken , two nonmixable liquids are extracted together .
When a solvent is extracted , two immiscible liquids are shaken together .

Are these two sentences paraphrases of each other?
no

The play was subsequently performed across Canada , by the Royal Shakespeare Company and the BBC .
The play was subsequently performed throughout Canada by the BBC and the Royal Shakespeare Company .

Are these two sentences paraphrases of each other?
yes

For the recording of this album , a new drummer , Heyden Wilson , joined the band , as did a second guitarist Dave Traves .
A new drummer , Heyden Wilson , joined the band for recording this album , as did a second guitarist , Dave Traves .

Are these two sentences paraphrases of each other?
yes

The Discovery Centre visitor attraction includes Turret House , Tudor Grounds , Sheffield Manor Lodge , Manor Oaks Farm , Manor Cottages and Rhubarb Shed Cafe .
The Discovery Centre visitor attraction includes the Turret house , Tudor grounds , Sheffield Manor Lodge , Manor Oaks Farm , Manor Cottages and Rhubarb Shed Cafe .

Are these two sentences paraphrases of each other?
yes