The phrase "and subsequently drop" is correct and usable in written English.
It can be used to indicate that one action follows another, specifically that something is dropped after a previous event or action.
Example: "The team decided to pursue the project and subsequently drop it due to budget constraints."
Alternatives: "and then discard" or "and later remove".
The decision to dump Mitchell Pearce – and subsequently drop halves partner James Maloney too – was central to the Blues' win in Origin I.
He said the English police should travel to Spain to interview the parents and subsequently drop the charges, if satisfied that the Kings were simply attempting to get Ashya proton beam treatment and had taken necessary precautions with respect to his health.
Obviously a pointless pursuit, I would conclude, and subsequently drop it.
For example, a descriptive research by Johnson et al. (1986) showed that marriage satisfaction and marriage quality both initially increase at first and subsequently drop after reaching the peak.
Studies have also demonstrated that undergraduate students who drink excessively are more likely to perform poorly in their studies [ 10, 11] and subsequently drop out from university [ 12].
Each time, the idea was harshly criticised and subsequently dropped.
Perry's initial efforts at mainstream stardom were fruitless, with two separate record labels signing and subsequently dropping her before any material was released.
The results reveal that thermal conductivity increases over the initial stage of sulphate immersion and subsequently drops to a plateau value.
Devlin came through the scene at a time when the former grime king Dizzee Rascal started to abandon his musical roots, and many other crews were being snapped up by labels, given a radio-friendly face-lift and subsequently dropped.
Pedro Mendes is sure to start, however, and the midfielder has turned to an old colleague for clues on how to win at Stuttgart, where Rangers lost 3-2 in the 2007 Champions League and subsequently dropped into the Uefa Cup, although they eventually reached the final.
An essential part of Sri Lanka's beautifully balanced attack, Malinga ended up captaining his team to the title after Dinesh Chandimal was banned and subsequently dropped himself.
