The phrase "constantly increasing number" is correct and usable in written English.
You could use it when referring to something that is constantly increasing in quantity or size. For example: "The constantly increasing number of wild birds migrating to our local park is a cause for celebration!".
And he spoke of an era of limits, in which the constantly increasing number of users of America Online was most likely over.
In addition, a constantly increasing number of in vitro and in vivo studies demonstrate the functional involvement of KLKs in cancer-related processes.
Constantly increasing number of TV programs makes it difficult to TV stations to reach new audiences, and to viewers to find interesting programs to watch.
The government sought a means to prevent the constantly increasing number of deaths in London from overwhelming the new cemeteries in the same manner in which it had overwhelmed the traditional burial grounds.
A proposal by Francis Seymour Haden to ship the bodies of London's dead to the Thames Estuary for use in land reclamation met with little approval, and the government sought alternative means to prevent the constantly increasing number of deaths in London from overwhelming the new cemeteries in the same manner in which it had overwhelmed the traditional burial grounds.
A constantly increasing number of molecules can influence actin nucleation activity in vitro, but how and where exactly they function in vivo is often unknown.
The increased use of prosthetic devices during the past decades has been accompanied by a constantly increased number of prosthetic device infections [8].
The genetic breaks were constantly supported with increasing number of clusters in STRUCTURE analyses.
There are currently many templates for protein structures prediction available from the Protein Data Bank (PDB) [ 13], and all such templates are constantly increasing in number.
Judge Kross was constantly concerned with the increasing number of cases involving husbands & wives that came streaming before her.
The agency's IT systems "are constantly exposed to an increasing number of cyber attacks, which are becoming more sophisticated and more difficult to detect," Inspector General Todd J. Zinser wrote last year.
