The phrase "and subsequently progressing" is correct and usable in written English.
It can be used to indicate a sequence of events where one action follows another, particularly in contexts involving development or improvement.
Example: "The project began with initial research and subsequently progressing to the implementation phase."
Alternatives: "and then advancing" or "and later developing".
SRS often started with myoclonic jerks or focal seizures and subsequently progressed into secondarily generalized seizures, so that the development of SRS recapitulated the earlier kindling of elicited seizures.
The Carlins then went to Adelaide, and subsequently progressed to Melbourne, Sydney, and Brisbane.
Population growth is given as one reason, however the full picture shows funding and subsequently progress on universal primary education clearly stagnating.
Susceptible, HIV-negative individuals S may become infected and subsequently progress through the acute E, latent L, and AIDS A phases of infection.
Lim et al. previously reported a case of melioidosis with a parotid abscess that was drained and subsequently progressed to necrotizing fasciitis (4 ).
With the lowest dose (100 μg) the arthritis started as early as day 9 and subsequently progressed to a severe arthritis peaking 2 weeks after immunization.
Nineteen patients (35.8%) presented before the onset of ESRD and subsequently progressed to ESRD; while 34 (64.2%) were already in established ESRD at the time of initial presentation.
One of the patients in the current study subsequently was recognized as having four criteria, although clinically, this individual was treated as ILE with hydroxychloroquine and subsequently progressed to develop renal involvement.
Similarly, of 122 patients who achieved DC in one of several completed phase II trials and subsequently progressed, 48% regained DC after retreatment with ipilimumab (Neyns et al, 2013).
This suggests that increases of whole brain network segregation occur in the earliest stages of the neurodegenerative disease process, before symptom onset, and subsequently progress to loss of network integration in the manifest stages.
